Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18 vertex     (x, y) =          axis of symmetry            Sketch its graph.

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Consider the following given equation,

Q: 79. Given an equation of a parabola (x – h) = 4p(y – k) or (y - k) = 4p(x – h), how can you…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given: The given equation is y=2x2-5x-3 To find: we have to find the x-intercept

Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

Q: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

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Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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Q: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

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Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: Which is an equation of the parabola shown in the accompanying diagram? 1 -21 y = -x² + 2x + 3 A. y…

A: We will find the factors of this function using the roots. The roots of the function are those…

Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: Find the equation y= ax?+by +C 0E the parabola that passes througn the points (-2,0), (0,-14),(7,0)

A: Given: Parabola passes through points (-2, 0), (0, -14) and (7, 0)

Q: The equation of the parabola whose vertex is located at (0,0), and its focus is (3,0), is Select…

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Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: Find the point on the parabola x=t, y = t2, - 0 <t< oo, closest to the point - 16,5. The point on…

A: Any point on the parabola is of the form (t, t2) Distance between (t,t2) and (-16 , 1/2) is:

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

Q: III. Transform the equation of the parabola to the standard vertex for: completing the square. 16.…

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: From the given information it is required to calculate the equation of axis of symmetry and…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the vertex, axis of symmetry and y-intercept of the associated parabola 2x2 44 f(x) Vertex Axis…

A: Formula:

Q: 2. CE Board Nov. 2004 A parabola has an equation of y2 + 4y – 4x - 8 = 0. Locate the vertex of the…

A: Given: Equation of the parabola:y2+4y-4x-8=0 To Find: the vertex of the parabola Concept: if…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: To determine the axis of symmetry and the vertex of the parabola.

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a&gt;0 Upward y=ax-h2+k and…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…

A: The given equation of parabola is,

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Compare the given equation with the standard form of a parabola.

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15

Q: Determine the standard equation of parabola Show your solutions X²+2y+y-1=0

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.