For the parabola given by (y-5)2=8(x+4), find the following:(a) direction parabola opens (to the left, right, up, or down) Answer: (b) vertex Answer: (c) focus Answer

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

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Q: What is the equation for the parabola below in terms of its focus and directrix? y = _____

A: Given: equation of the parabola

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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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 the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: What is the y-intercept of the following parabola?

A: The question is taken from the parabola in which we have to find the y-intercept of the given…

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

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: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: y = 3x? + 6x – 5

A: The given parabola is: y=3x2+6x-5...(1)

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

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: 4x + y2 + 8y + 8 = 0   If it is a parabola, find the vertex, focus, and directrix.

A: As a first step we will convert the equation in the standard form of equation representing a…

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: Given y2 = 4px with p<0, the parabola opens (upward/downward/left/right).

A: Given, function

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: Given the general form of a parabola x2+6x-24y+2=0, what is the distance the focus is from the…

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Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

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 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: Betty was asked to write the equation of the hyperbola with asymptotes y = +x and x-intercepts…

A: Definition used -               Equations of the asymptotes of the hyperbola are-…

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

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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: 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: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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Q: y=(x+3)^2+4 how to find vertex and find two point on the left and two point on the right for this…

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Q: Find an equation of the parabola with focus (-8,5) and directnx X = 4,

A: Parabola is the locus of a point, which moves so that its distance from a point called focus and a…

Q: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

Q: Write the equation of a parabola whose directrix is y = 7.5 and has a focus at ( – 4, – 4.5). -

A: The equation of parabola whose directrix is y=-7.5 and has a focus at (-4,-4.5).

Q: Use the equation x2 +18x – 2y -85 = 0 to determine the following for a parabola: a. equation in…

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Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at…

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Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of 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: y=(x-3)^2-1 how to find vertex and plot five point two on the left and two on the right for this…

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Q: Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.

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Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

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.