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

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

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

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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: 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 equation for the parabola that has its vertex at the origin and has directrix at y = 7 The…

A: To find the equation of parabola that has tis vertex at the origin and has directrix at y=-17

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: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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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 equation of the parabola with focus (-3, 0) and directrix x-3.

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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 equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

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 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 a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: The parabola y=x^2+13 has it's focus at the point (b,c) where  b= c=

A: The given equation of the parabola is, y = x2+13. Also the parabola has its focus at (b, c).Consider…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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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: Explain how to use y2 = 8x to find the parabola’s focus and directrix.

A: Given: y2=8x   To find: The parabola’s focus and directrix

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

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Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

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: (b) Find the evolute of the parabola y? = 4ax.

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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: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: find the equation of the parabola with the given properties. Focus (2, 0), directrix x = −2

A: The formula for a parabola in vertex form is:

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: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: graph the parabola  and determine the focus, vertex and directrix  (3y - 6)2 = 36(x - 2)  x2 + 6x…

A: As we know that the the standard equation of the horizontal parabola is: y-k2=4px-h Where:  Vertex:…

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 parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

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

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Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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Q: Determine the equation of the parabola opens upward with vertex (-12,-6) with directrix y=-17

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Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 12x - 23 = 0..Then graph the…

A: Given equation, y2+2y+12x-23=0we have to find the vertex, focus and directrix of the given equation…

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

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Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

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

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

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