2024 Axis of symmetry formula

Jan 2, 2020 ... What is the equation when solved for a? ... The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a , where a and b ...A line of symmetry is an axis along which an object when cut, will have identical halves. These objects might have one, two, or multiple lines of symmetry. One line of symmetry; Two lines of symmetry; Infinite lines of symmetry; One Line of Symmetry. Figures with one line of symmetry are symmetrical only about one axis.Oct 6, 2021 · 16) Vertex: (-6,-6), axis of symmetry parallel to $y$ -axis, contains the point (0,0) If we are given the equation of a parabola and need to find the vertex, focus and directrix, it is often helpful to put the equation in standard form. What is net cash flow? From real-world examples to the net cash flow formula, discover how this concept helps businesses make sound financial decisions. Net cash flow is the differ...The axis of the hyperbola is y = k. We are writing the steps to find the axis of a hyperbola. Step 1 : Convert the equation in the standard form of the hyperbola. Step 2 : Compare the result with standard equations of the hyperbola. Step 3 : Write the values of a, b, h and k .Steps to Find Vertex Focus and Directrix Of The Parabola. Step 1. Determine the horizontal or vertical axis of symmetry. Step 2. Write the standard equation. Step 3. Compare the given equation with the standard equation and find the value of a. Step 4. Find the focus, vertex and directrix using the equations given in the following table.Substitute the values of and into the formula. Step 1.1.3.2. Cancel the common factor of and . Tap for more steps... Step 1.1.3.2.1. Factor out of . Step 1.1.3.2.2. Cancel the common factors. ... Find the axis of symmetry by finding the line that passes through the vertex and the focus. Step 8.May 1, 2015 ... In this video I go through an example of how to find the vertex of a parabola using the axis of symmetry formula, also known as 'partial ...The vertex form of a parabola's equation is converted into the general form by multiplying everything out and isolating the unsquared variable on one side of the "equals" sign, with the quadratic expression on the other side. ... The axis of symmetry is the line that splits the parabola into two equal halves. If the parabola is vertical, then the axis of symmetry …Learn how to find the axis of symmetry and vertex of a parabola using the formula x = -b/2a. See examples, graphs and derivation of the formula in this lesson.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.The graph of a quadratic function can intersect the x-axis at one or two points. So a quadratic function’s maximum number of x-intercepts will be $2$. ... We know that the graph of a quadratic function is a parabola, and both p and q are used to determine the axis of symmetry for the parabola. The axis of symmetry is the vertical line that …Learn how to find the axis of symmetry of a parabola using the formula x = -b/2a, where b is the coefficient of x and a is the constant term. The formula can also be …The number of symmetry lines for a star depends on the particular types of star. A five-pointed star has five lines of symmetry. However, a six-pointed star has six lines of symmet...Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Axis of Symmetry - Student Version . Save Copy. Log InorSign Up. y ... Jan 10, 2024 · The vertex of parabola is the only point from where the axis of symmetry passes. A vertical parabola’s quadratic equation is y = ax2 + bx + c. The parabola is unaffected by the constant term ‘c.’. Consider the equation y = ax2 + bx. The axis of symmetry is the midpoint of its two x-intercepts. To find the x-intercept, substitute y = 0. The axis of symmetry is the vertical line x = -b / 2a that goes through the vertex of the parabola. This line cuts the parabola into two equal halves (left and right), which are mirror images of one another. The parabola from the quadratic function f (x) = 3x 2 + 24x + 7 (blue curve).The vertex form of a parabola's equation is converted into the general form by multiplying everything out and isolating the unsquared variable on one side of the "equals" sign, with the quadratic expression on the other side. ... The axis of symmetry is the line that splits the parabola into two equal halves. If the parabola is vertical, then the axis of symmetry …Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax …Aug 8, 2012 ... Mr. McClure explains how to find the axis of symmetry by using the formula -b/2a.The axis of symmetry passes through the vertex (−2, 3) in Figure 5.1.13 and has equation x = −2. Note that the right half of the parabola is a mirror image of its left half across this …Jun 17, 2013 ... Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, ...Substitute the values of and into the formula. Step 1.2.3.2. Simplify the right side. Tap for more steps... Step 1.2.3.2.1. Dividing two negative values results in a positive value. Step 1.2.3.2.2. Multiply the numerator by the reciprocal of the denominator. Step 1.2.3.2.3. Combine and . ... Find the axis of symmetry by finding the line that passes through the …Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Want to know the area of your pizza or the kitchen you're eating it in? Come on, and we'll show you how to figure it out with an area formula. Advertisement It's inevitable. At som...The equation of the axis of symmetry can be derived by using the Quadratic Formula. We will omit the derivation here and proceed directly to using the result. The equation of the axis of symmetry of the graph of f (x) = ax 2 + bx + c is x = − b 2 a. x = − b 2 a.Jun 21, 2020 ... Derivation of the axis of symmetry formula for parabolas.The Axis 500 4×4 UTV is a powerful and reliable off-road vehicle designed to tackle any terrain. With its robust frame, powerful engine, and advanced suspension system, the Axis 50...The equation of the axis of symmetry can be derived by using the Quadratic Formula. We will omit the derivation here and proceed directly to using the result. The equation of the axis of symmetry of the graph of f (x) = ax 2 + bx + c is x = − b 2 a. x = − b 2 a. The equations of parabolas with vertex $(0,0)$ are $y^2=4px$ when the x-axis is the axis of symmetry and $x^2=4py$ when the y-axis is the axis of symmetry. …Apr 27, 2023 ... GoTutor Math•4.8K views · 1:27 · Go to channel · Finding the axis of symmetry of an equation in general form. Brian McLogan•6.8K views ·...Axis of Symmetry All parabola have a vertical axis of symmetry, that is a vertical line across of which the parabola is the mirror image of itself. Given a parabola $y=ax^2 + bx + c$, the equation of its axis of symmetry can always be …It’s that easy! Keep in mind that a, b, and c are coefficients of the equation, and they give us a way to identify this magical line of symmetry. Axis of Symmetry …We take the mystery out of the percent error formula and show you how to use it in real life, whether you're a science student or a business analyst. Advertisement We all make mist...Researchers have devised a mathematical formula for calculating just how much you'll procrastinate on that Very Important Thing you've been putting off doing. Researchers have devi...Learn how to find the axis of symmetry formula for a parabola using standard or vertex form of the quadratic equation. The formula is x = -b/2a or x = h, where b and h are the coefficients of the quadratic equation. See examples, derivation and identification of the axis of symmetry. A line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, then the two halves match up. In this photo the white line down the center is a vertical axis of symmetry. Also called the Line of Symmetry. Illustrated definition of Axis of Symmetry: A line through a shape so that each side ...To identify the axis of symmetry, maximum & minimum values, and domain & range. Axis of symmetry: x = − 1 Vertex: ( − 1 , 5 ) Domain: ( − ∞ , ∞ ) Range: [ 5 , ∞ ) Given: The function is given by: y = x 2 + 2 x + 6 Formula used: The axis of symmetry for the parabola with the equation of the form y = a x 2 + b x + c is given by: x = − b 2 a …Figure 8.5.4: The Cartesian plane with x- and y-axes and the resulting x′− and y′−axes formed by a rotation by an angle θ. The original coordinate x - and y -axes have unit vectors ˆi and ˆj. The rotated coordinate axes have unit vectors ˆi′ and ˆj′ .The angle θ is known as the angle of rotation (Figure 8.5.5 ).What is axis of symmetry of absolute value function ? The axis of symmetry the line that divides the graph into two congruent halves. Find equation of axis of symmetry of the following absolute value function. Problem 1 : y = 3|x - 2| + 4. Solution : y = 3|x - 2| + 4. y = a|x - h| + k. Vertex :Key Concepts. A parabola is the set of all points (x, y) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. The standard form of a parabola with vertex (0, 0) and the x -axis as its axis of symmetry can be used to graph the parabola.Dec 3, 2016 ... Ax+Cy+t=0 is the symmetry axis of parabola. Also, the line (D−2At)x ...Feb 8, 2020 ... 2.10.1a Example 1 : Finding the maximum/minimum and axis of symmetry of a quadratic function ... State the maximum or minimum value of for each of ...Learn how to find the vertex and the axis of symmetry of a parabola using a quadratic formula and completing the square. Watch a video tutorial and see the formula, examples and explanations from Sal Khan and other users. The axis of symmetry is also known as line of symmetry. The parabola equation cal be expressed in two ways, standard form and vertex form. The above formula is used for finding axis of symmetry for any quadratic equation (such as y = ax 2 + bx + c). Our below online calculator is used to find the axis of symmetry which is in standard form. Line symmetry can also be observed on inkblot paper. A figure can have one or more lines of line symmetry depending on its shape and structure. For a parabola with quadratic equation y = ax 2 + bx + c, line of symmetry is x = -b/2a. ☛ Related Articles. Axis of Symmetry; Lines of Symmetry in a Parallelogram; Rhombus Lines of SymmetryDeriving The Axis of Symmetry Formula (x=-b/2a) For A Quadratic Equation Using The Completing The Square Method.A parabola is the set of all points $(x,y)$ in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. The standard form of a parabola with vertex $(0,0)$ and the x-axis as its axis of symmetry can be used to graph the parabola.Answer: The axis of symmetry for the function g(x) = 3x2 − 6x − 9 g ( x) = 3 x 2 − 6 x − 9 is x = 1 x = 1. Example 5. Find the equation of the axis of symmetry of the given parabola. Solution. Step 1: Here the vertex = (6, −6) = ( 6, − 6). Step 2: The axis of symmetry intersects the parabola at its vertex and it is a vertical line ... If the equation of parabola includes the term y 2, then the axis of symmetry is along the X-axis. And if the equation of parabola includes the term x 2, then the axis of symmetry is along the Y-axis. When the axis of symmetry is along the X-axis, if the coefficient of x is positive, then the parabola opens to the right. if the coefficient of x ...A line of symmetry is an axis along which an object when cut, will have identical halves. These objects might have one, two, or multiple lines of symmetry. One line of symmetry; Two lines of symmetry; Infinite lines of symmetry; One Line of Symmetry. Figures with one line of symmetry are symmetrical only about one axis.Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections Trigonometry Using the formula for the axis of symmetry, we get: x = -b / 2a; x = -24 / 2(3) x = -4; So the axis of symmetry is the vertical line x = -4. We can see this in the graph below. The parabola from the quadratic function f(x) = 3x 2 + 24x + 7 (blue curve). The axis of symmetry is the vertical line x = -4 (dashed red line).The axis of symmetry of a parabola is the line that bisects the curve and is perpendicular to the directrix. The axis of symmetry divides the parabola into two mirror images. The equation for a parabola can be written in standard form, which is y = ax^2 + bx + c. The axis of symmetry is located at x = -b/2a. To find the axis of symmetry, plug ... Sep 29, 2015 ... Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, ...The equations of parabolas with vertex $(0,0)$ are $y^2=4px$ when the x-axis is the axis of symmetry and $x^2=4py$ when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.Symmetry is important because it is the main feature of nature that restricts the permissible dynamic laws. The concept of balance is very important to understanding how symmetry w...To identify the axis of symmetry, maximum & minimum values, and domain & range. Axis of symmetry: x = 2.5 Vertex: ( 2.5 , 3.25 ) Domain: ( − ∞ , ∞ ) Range: ( − ∞ , 3.25 ] Given: The function is given by: y = − x 2 + 5 x − 3 Formula used: The axis of symmetry for the parabola with the equation of the form y = a x 2 + b x + c is given by: x = − b 2 a …Aug 3, 2023 · The vertex form of a quadratic equation is y = a (x – h) 2 + k, Equation of axis of symmetry is, x = h, here (h, k) = vertex of the parabola. We obtain the vertex of the function (x, y) by substituting the value of x in the standard form of the equation and get the value of y. Let us solve some examples involving the above formulas and concepts. Axis of symmetry formula. The graph of a quadratic function ax² +b x + c is a parabola, and this parabola will be symmetric around its axis of symmetry. The axis of symmetry …Example: Finding the Centroid of a Symmetric Region. Let R be the region bounded above by the graph of the function f (x) = 4−x2 f ( x) = 4 − x 2 and below by the x x -axis. Find the centroid of the region. Watch the following video to see the worked solution to Example: Finding the Centroid of a Symmetric Region.Axis of Symmetry All parabola have a vertical axis of symmetry, that is a vertical line across of which the parabola is the mirror image of itself. Given a parabola $y=ax^2 + bx + c$, the equation of its axis of symmetry can always be …The equation of the axis of symmetry can be derived by using the Quadratic Formula. We will omit the derivation here and proceed directly to using the result. The equation of the axis of symmetry of the graph of f ( x ) = ax 2 + bx + c is x = − b 2 a . x = − b 2 a .Quadratic equations are written in vertex form as: y=a (x-h)^2+k. where (h,k) represent the vertex of the parabola, and the sign of a represents if the graph of parabola is open upwards or downwards. In your equation y = - (x-2)^2+3, Vertex (h,k)= (2,-3) Since a=-1, this tells us that the graph will be open downwards.Line symmetry can also be observed on inkblot paper. A figure can have one or more lines of line symmetry depending on its shape and structure. For a parabola with quadratic equation y = ax 2 + bx + c, line of symmetry is x = -b/2a. ☛ Related Articles. Axis of Symmetry; Lines of Symmetry in a Parallelogram; Rhombus Lines of Symmetry The equation of the axis of symmetry is written if the parabola is seen to be in two types, and they are standard form or vertex form. ALSO READ. Three-day workshop on Mathematics, Class II, III concludes at JKBOSE Standard Form The quadratic equation, in standard form, is y=ax2+bx+c, given that a, b and c are the real numbers. And, the …Get latest ground breaking math tips and email-exclusive content direct to your inbox! All these in MathExpression.com - The Free Math Tutor Online. For each lesson, read the study tips carefully and take note of the important concepts/ideas before watching the video. These tips will guide you in your math thinking strategies.The axis of the hyperbola is y = k. We are writing the steps to find the axis of a hyperbola. Step 1 : Convert the equation in the standard form of the hyperbola. Step 2 : Compare the result with standard equations of the hyperbola. Step 3 : Write the values of a, b, h and k .Nov 21, 2023 · Therefore, the equation of the axis of symmetry for this parabola is x = 0. Figure 2 As in the geometric figures in Figure 1, if we fold the parabola at the y-axis, the two halves will lie exactly ... Oct 13, 2023 · Question #4: Mr. Matthews drops down into a snowboard halfpipe shaped like a parabola. The equation that matches the shape of the halfpipe is y = x2 − 9x + 8 y = x 2 − 9 x + 8 in standard form. Use the equation to determine the axis of symmetry. Axis of Symmetry: x = 3 x = 3. Axis of Symmetry: x = 3.5 x = 3.5. An axis of symmetry splits a parabola in half and travels through the vertex. Use the formula to find h, plug in the correct values from the equation, ...Jul 22, 2021 · The equations of parabolas with vertex $(0,0)$ are $y^2=4px$ when the x-axis is the axis of symmetry and $x^2=4py$ when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features. Christian Horner, Team Principal of Aston Martin Red Bull Racing, sat down with Citrix CTO Christian Reilly. Christian Horner, team principal of Aston Martin Red Bull Racing, sat d...The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation. There's even a formula to help find it! In this tutorial, you'll see how to find the axis of symmetry for a given quadratic equation. Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting ...The equation of a top/bottom opened parabola can be in one of the following three forms: Standard form: y = ax 2 + bx + c; Vertex Form: y = a (x - h) 2 + k; ... The axis of symmetry of an up/down open parabola with vertex (h, k) is x = h. The axis of symmetry of a left/right open parabola with vertex (h, k) is y = k. Explore math program. Download FREE Study …The equations of parabolas with vertex [latex]\left(0,0\right)[/latex] are [latex]{y}^{2}=4px[/latex] when the x-axis is the axis of symmetry and [latex]{x}^{2}=4py[/latex] when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.Line symmetry can also be observed on inkblot paper. A figure can have one or more lines of line symmetry depending on its shape and structure. For a parabola with quadratic equation y = ax 2 + bx + c, line of symmetry is x = -b/2a. ☛ Related Articles. Axis of Symmetry; Lines of Symmetry in a Parallelogram; Rhombus Lines of Symmetry The axis of symmetry passes through the vertex (−2, 3) in Figure $\PageIndex{13}$ and has equation x = −2. Note that the right half of the parabola is a mirror image of its left half across this axis of symmetry. We can use the axis of symmetry to gain an accurate plot of the parabola with minimal plotting of points. The equations of parabolas with vertex $(0,0)$ are $y^2=4px$ when the x-axis is the axis of symmetry and $x^2=4py$ when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.We write the axis of symmetry as a line, so #x = -1#. The maximum/minimum of a quadratic equation is also the vertex, since it is the highest or lowest point of the parabola. To find the vertex, we need to do a couple things: We have already found the axis of symmetry, which was #x = -1#. Since that is the vertical line …Algebra. Find the Axis of Symmetry y-4x=7-x^2. y − 4x = 7 − x2 y - 4 x = 7 - x 2. Rewrite the equation in vertex form. Tap for more steps... y = −(x−2)2 +11 y = - ( x - 2) 2 + 11. Use the vertex form, y = a(x−h)2 +k y = a ( x - h) 2 + k, to determine the values of a a, h h, and k k. a = −1 a = - 1. h = 2 h = 2.The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches. Thus it is the distance from the center to either vertex of the hyperbola.. A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one …One shape that has at least one line of symmetry is a rectangle. A rectangle has two lines of symmetry. Line symmetry,is also known as reflection symmetry. When one half of an obje...The axis of symmetry. All parabolas have exactly one axis of symmetry (unlike a circle, which has infinitely many axes of symmetry). If the vertex of a parabola is (k, l) ( k, l), then its axis of symmetry has equation x = k x = k. We can find a simple formula for the value of k k in terms of the coefficients of the quadratic.What Is the Axis of Symmetry of a Quadratic Function? You can find the symmetry line of a quadratic function using the formula x = − b 2 a x = -\dfrac{b}{2a} x = − 2 a b . This video explains how to use the formula and why it’s useful.Which equation represents the axis of symmetry of the graph of the equation y equals x2-6x 5? Assume the expression is: y = x² - 6x + 5 Complete the squares to get: y = x² - 6x + 9 + 5 - 9 = (x - 3)² - 4 By the vertex form: y = a(x - h)² + k where x = h is the axis of symmetry x = 3 is the axis of symmetry. …

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Axis of Symmetry. Save Copy. Log InorSign Up. y = ax 2 + bx + c. 1 ... . Mother love

The female boss of the W Series says it's time to try something new to get women on the championship grid. Formula 1 is one of the few sports in which both sexes are free to compet...Now $-b/2a$ is also essential when looking for the parabola’s axis of symmetry. The next section covers this to highlight the second application of the vertex formula and $-b/2a$. Using -B/2A in Finding the Axis of Symmetry Example 1. The expression, $-b/2a$, is also crucial in finding the parabola’s axis of symmetry without …The axis of the hyperbola is y = k. We are writing the steps to find the axis of a hyperbola. Step 1 : Convert the equation in the standard form of the hyperbola. Step 2 : Compare the result with standard equations of the hyperbola. Step 3 : Write the values of a, b, h and k .The general equation of a quadratic function is f(x) = ax 2 + bx + c. Now, for graphing quadratic functions using the standard form of the function, we can either convert the general form to the vertex form and then plot the graph of the quadratic function, or determine the axis of symmetry and y-intercept of the graph and plot it.The axis of symmetry of a parabola is the line that bisects the curve and is perpendicular to the directrix. The axis of symmetry divides the parabola into two mirror images. The equation for a parabola can be written in standard form, which is y = ax^2 + bx + c. The axis of symmetry is located at x = -b/2a. To find the axis of symmetry, plug ...The line of symmetry is the line which passes through the centre of the object or any shape. It is considered as the axis or imaginary line of the object. In geometry, you must have learned well about the term symmetry which is defined as a balanced and a proportionate similarity found in two halves of an object, that is, one-half is the mirror …A graph will have x-axis symmetry if we get an equivalent equation to the original one when we replace y with –y. Let us test the symmetry of a graph with the equation 6 + xy 4 = 0. x-axis symmetry test: replacing y with –y: 6 + x(-y) 4 = 0. ⇒ 6 + xy 4 = 0 (this is the original equation) Thus the graph is symmetric about the x-axis. y ...Example: Axis of symmetry formula from the roots. Assume that the roots of a quadratic equation are $r_1 = 3$ and $r_2 = 5$. Find the axis of symmetry equation of the parabola. Solution: We know that when the roots are provided, we need to average the roots. Hence, the axis of symmetry equation of the parabola is entries. www.mathwords.com. about mathwords. website feedback. Axis of Symmetry of a Parabola. The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix. Example: This is a graph of the parabola with all its major features labeled: axis of symmetry, focus, vertex, and directrix.Nov 1, 2021 ... We learn how to find the equation of a parabola's axis of symmetry using its x intercepts, also called its zero or roots.Sep 29, 2015 ... Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, ...The axis of symmetry is y = x. The axis of symmetry is an important concept in geometry that allows us to better understand how shapes are formed and positioned in space. In order to find the axis of symmetry for a parabola, we need to use its general form equation and calculate the discriminant. If the discriminant is less than zero, then ... 2.1K 233K views 1 year ago New Algebra Playlist This algebra video tutorial explains how to find the axis of symmetry given a quadratic equations. Examples include horizontal and vertical...Step-by-step explanation:x= -b/2aplease mark me brainlieast. A line passing through the point (2,2) and the axes enclose an area Alpha . the intercepts on the axes made by the line are given by roots of help meWe write the axis of symmetry as a line, so #x = -1#. The maximum/minimum of a quadratic equation is also the vertex, since it is the highest or lowest point of the parabola. To find the vertex, we need to do a couple things: We have already found the axis of symmetry, which was #x = -1#. Since that is the vertical line …Keep going! Check out the next lesson and practice what you’re learning:https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f8...The three main types of symmetry used in mathematics are reflectional symmetry, rotational symmetry and point symmetry. Other less common types of symmetry include translational sy....

To understand the axis of symmetry, let’s first consider a general quadratic function in the form of f(x) = ax^2 + bx + c, where a, b, and c are constants. The axis of symmetry can be determined using the formula x = -b / (2a). This formula is derived from the fact that the vertex of a parabola lies on its axis of symmetry.

Axis of symmetry formula - Find the axis of symmetry by finding the line that passes through the vertex and the focus. x=0 ...

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Axis of Symmetry. Save Copy. Log InorSign Up. y = ax 2 + bx + c. 1 ... . Mother love

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