Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by the equation. x = −1/8 y2 + 4 axis of symmetry           vertex     (x, y) =          Sketch the graph.

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

A:

Q: Which of the following equations is the equation of tangent to the parabola y2 = 2x + 8 at point…

A: The given equation of parabola is: y2=2x+8

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

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: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

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

A:

Q: A parabola has its vertex at (2,-3) and it's y-intercept at 5. Write an equation of the parabola in…

A: Vertex (2,-3) y intercept at 5 y=a(x-h)2+k

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

A: Introduction :

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: Find the axis of symmetry of the parabola x2+ 24 y-4x 68 Select one: O x= 2 Oy= 6 O None Oy= -2 Ox=…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

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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 axis of symmetry of a parabola is x 2. If the parabola intersects the x-axis at…

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Q: ASAP PLS. The given equation of a parabola is y=x2-2x-3. Suppose you shift the parabola 2 units to…

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Q: The parabola y = mx- (m+ 1)x + 2m-1 passes through the point A(2, 9). Find the value of m. %3D

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Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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

A: Given:

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

A: To find the general equation of the parabola with horizontal axis which crosses the x‐axis at x=2,…

Q: Write an equation for the parabola that passes through (4, 3) and has x-intercepts of -1 and 5. An…

A: To find the equation of the parabola

Q: Find the standard equation of any parabola that has vertex V.

A: V-2,0

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

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

A: Given:

Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

A:

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

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Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

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

A: Formula:

Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…

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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:

Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

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

A: Given y = 3x2 + 11x + 6

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

A:

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

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

A:

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: Find the coordinates of the vertex for the parabola. Round your answer to 2 decimal places. Include…

A: Given query is to find the vertex for the parabolo.

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: 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

A:

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.