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

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

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

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

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 standard equation of the parabola shown in the figure.

A: Find the equation of the given graph.(x-h)2=-4a(y-k) (h,k)=(2,-4) Focus(0,a)=(0,5)…

Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Find the equation of the directrix of the parabola y=16x.

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Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

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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: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: Ay 3-

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Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

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

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Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

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: Write the equation of a parabola with vertex (0,0) and directrix y =-3

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Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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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: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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Q: Find the point on the parabola y 2 =2x that is closest to the  point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: Find the point on the parabola y=x2 closest to (6,3

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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: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

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>0 Upward y=ax-h2+k and…

Q: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

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Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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Q: Find an equation for the indicated half of the parabola.Upper half of (y - 2)2 = x - 4

A: Given: y-22=x-4 For finding equation of the upper half of the parabola, we take square root both…

Q: Find the directrix of the parabola.  y^2= -10x

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

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Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

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.