Find the length of the hyperbola. (y-2)2/ 9 - (x+1)2/4 =1

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

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

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

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Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: Find the foci of the hyperbola. 2 -4x+y-16x- 32 = 0

A: We have to find the foci of the hyperbola.…

Q: What is the standard form of the parabola, y + 2x + 10y + 9 = 0, given in conic form?

A: Do some rearrangement in the equation of given conic to convert it in standard form of equation

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

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Q: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

A: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

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

A: Given,

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: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find an equation for the parabola that has its vertex at (1, 2) and its focus at (4, 2).

A: The vertex of the parabola is the point of intersection parabola with its axis. The general form of…

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

A:

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: Find a point on the parabola y - x* + 9 which is closest to the origin.

A:

Q: Locate the center of the hyperbola with the equation of 49y^2– 4x^2 + 48x – 98y – 291 = 0

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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: find the points on the parabola y=x^2 closest to the point (0,1)

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Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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Q: Find the equation of the parabola with vertex V (5,5) and directix the y-axis.

A: we have to find the equation of parabola

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

A:

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

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Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: Find the asymptotes of the hyperbola 3x2 + 6x − y2 − 10y = 1.

A:

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: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

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: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6. %3D

A: Given: 3x2−2y2+6x−8y=6

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

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

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

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

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

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Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: 3. Write the equation into the standard form of the equation of the hyperbola: x² – 4xy + y² + 8x +…

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Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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

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