The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola that is congruent to the given parabola?

Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

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Q: The vertex of a parabola is (–5,1) and the directrix is the line y=–2. Find the focus of the…

A: Given vertex of parabola: -5, 1 Directrix of the parabola: y=-2  If a parabola  y=ax-h2+k then the…

Q: The focus of the parabola y^2 = 4x is at

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Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

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

A: Given: equation of the parabola

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.

A: Since, directrix is vertical use equation of parabola that opens up or down.     (x-h)2 = 4p(y-k)…

Q: or the given equation of a parabola, determine the focus, vertex, and directrix. (x – 3)? = 32(y+ 4)…

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Q: Given a focus of (2, 4) and a directrix of y= -2, find the equation for the parabola. (2-

A: Given:    focus (2 , 4)    directrix y = -2

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3),…

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Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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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: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

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: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

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Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

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

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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: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

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

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Q: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

Q: Write an equation for a parabola with focus of (-1,1) and directrix at y =-7

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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: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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

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Q: help in 30mins pls

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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: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

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Q: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

Q: given the directrix of y = 6 and focus of (0,40, which is the equation of the parabola?

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Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.

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Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5),…

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Q: Find the standard form of the equation of the parabola. Focus at (6, -2), directrix y = -8

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Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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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…

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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