Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by the equation. x = y2 − 2y − 15 axis of symmetry           vertex     (x, y) =

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 the standard form of the equation of the parabola with the given characteristics. Vertex:…

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: 16. The standard form of the parabola is (y – 5)² = 12(x + 3). Solve the following. a. Vertex b.…

A: a) vertex If the equation of parabola is (y-h)2=4p(x-k) the vertex is (k,h) for the given equation,…

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…

A:

Q: 20. The equation of the parabola is x? + 16y -8x + 16 = 0. Solve the following. Standard form of the…

A: NOTE: As per our guidelines, I have solved three parts. If you want the answers of rest, kindly post…

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

A:

Q: Write the standard equation of parabola in a General Form Show the solution. 1. x² = 2 ( y + 4 )

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 7. A parabola whose equation is y =r² - 2x + k has a turning point with coordinates (1,-5). Find the…

A: We have to find 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=…

A:

Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

A:

Q: 18. The equation of the parabola is y2 + 24x + 144 0. Solve the following. Standard form of the…

A: According to the guidelines in case of Multipart questions we are only allowed to do first four…

Q: Find the equation y = ax2 + bx + c of the parabola that passes through the points (-2,0), (0, –14),…

A: See attached file for a step by step explanation to find the equation of parabola.

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

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

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

A:

Q: The equation of the axis of symmetry of a parabola is x 2. If the parabola intersects the x-axis at…

A:

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

A:

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: 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: 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: III. Transform the equation of the parabola to the standard vertex form by completing the square.…

A:

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

A:

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: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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

A:

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: I am needing assistance with the attached equation.

A: Vertex= (0,0) and directrix = x=-4 This means directrix is on the left of the vertex.  So, this…

Q: A parabola has equation (x- 4)2 = 8(y + 3) - Determine the coordinates c its focus

A:

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…

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 standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

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

A:

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: 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: Given equation for parabola: 3x2+24x-12y=-108 a. What is the standard equation? (Express it in…

A:

Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

A:

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.