Find the equation of the parabola with focus (1, −4) and directrix y = 0.

Q: Find the equation of the parabola with vertex at the origin and satisfies the condition: Focus…

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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: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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Q: Find the standard equation of the parabola which satisfies the given condition. Focus (7, 11),…

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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: Find the angle at which the parabola y=x2−14 intersects the positive x−axis.

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

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

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Q: Find an equation for the hyperbola shown in the figure.

A: Given,

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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

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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 focus at (5, 0) and directrix x = −5.

A: Focus lies on x-axis.

Q: Find an equation for the parabola with vertex V(0, 0) and Focus F(0, 2), and sketch its graph.

A: We have given vertex V0,0 and focus F0,2. Given the vertex of the parabola is V0,0 and focus is at…

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2…

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Q: Find equations for two lines through the origin that are tangent to the ellipse a- 8x +y + 3 =0.

A: We are asked to find the equation of two lines that are tangent to the ellipse.

Q: Find the equation of the parabola with focus (8,0) and directrix x -8

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

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Q: Find the standard form of the equation of a parabola given the following conditions: a) Directrix y…

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Q: Find an equation of the parabola in standard form: with focus at F(7,-1) and directrix 6 units from…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: given, focus (0,15) directrix y=-15

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: Find the equation of the line tangent to the hyperbola x2 −y2 =16 at (5,3).   Give your answer in…

A: The line is tangent to the given hyperbola at (5,3).Tangent line is a straight line.Therefore, the…

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

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

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Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

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Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: Given:

Q: help in 30mins pls

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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: Find equations for two lines through the origin that are tangent to the ellipse x - 8x + y² + 5 = 0.

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Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

Q: 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x…

A: Since you have asked multiple questions according to our company guidelines we are supposed to…

Q: Find an equation of the parabola with focus (4, 4) and directrix x=0.

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Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (7,…

A: Parabola: The focus of the parabola is (7,1) Directrix of the parabola is y=-9. The equation of…

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

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Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?

A: we know that the distance between any point on parabola and the focus is same as the distance…

Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2

A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (1,…

A: Given: A rough sketch of the parabola shall be as follows:

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

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Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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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: Find the equation of a parabola whose focus is at(2,-3) and directrix's equation is x=5.

A: Distance between the point x1 , y1 and a lineax+by+C=0 is ax1+by1+Ca2+b2

Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…

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Q: Find an equation of the parabola that satisfies the given conditions.Focus F(0, -4), directrix y = 4

A: To find: The equation of the parabola that satisfies the given conditions. Given information: Focus…