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

Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3

A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…

Q: 4. Find the focus, directrix and vertex of the parabola (x + 2)2 = 3y - 6, then sketch the curve.

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Q: What is the equation of a parabola with focus at (2,6) and directrixx = 8? %3D O y - 12y + 12z – 24…

A: Equating distance from directrix to distance from focus gives equation of parabola.

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: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: For the ellipse b'x' + a'y a'b?, show that the equations of its tangents of slope m

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

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

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

A: Consider the following values: Focus=9,0Diretrix⇒x+9=0 Standard form of the equation of the…

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 for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: Find the equation of parabola with rertex at (0,0 and focus at (3

A: Given the vertex is at(0,0) and focus (3, 0)

Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Given directrix: x=0 and focus (-4,5)The vertex will be the mid point of them Mid point of x=0 and…

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

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Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (6,5)…

A: We have given,The focus of a parabola is (6,5) and the directrix is x=-4We need to find the equation…

Q: Given the general form of a parabola x2+8x-12y+11=0, what is the equation of the directrix? y=_____.…

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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: 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: Match the parabolas in Exercises 1-4 with the following equations: x? = 2y, x2 = -6y, y? = 8x, y? =…

A: To match the following equations, with the graphs of parabolas and find its focus and directrix,

Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

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

A: Given:

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

A: The equation of parabola:

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

A: Given the following to find the equation of parabola.

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Q: Given a focus of (4,5) and a directrix of y=-3, fınd the equation of the parabola. y = (x –

A: We need to find equation of parabola.

Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Fid the equation of the tanget to the parabola  x2 - 22x + 24y +169 = 0 at  the point whose focus…

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Q: help in 30mins pls

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Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

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

A: Given:Focus0,20Directix y=-20Parabola:x-h2=4p y-k

Q: B. Find the general form of the equation of the parabola: 1. With focus Fat (2,7) and directrix e: y…

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

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

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: Find the standard form of the equation of the parabola using the information given.  Focus:(0,13);…

A: Given: Focus:(0,13); Directrix: y = -13

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: 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: 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: Given an ellipse with the equation x²/36+y²+32=1, the distance between the foci is

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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: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (12,…

A: Alternatively, you can use the definition of a parabola to derive the equation. A parabola is the…

Q: Find the standard form of the equation of the parabola satisfying the given conditions. Foci: (2,4)…

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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: Given an ellipse x2/a2 +y2/b2= 1, a  b, find the  equation of the set of all points from which there…

A: (Note: We are entitled to solve only one question at a time) Given: x2a2+y2b2=1, where a≠b. To Find:…

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.