The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? = -4x C. x? = 4y D. x? = -4y 5.

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: Find an equation of the parabola drawn below: 2 Xx Select one: O a. (x + 2)2 = 2 (y + 2) O b.…

A: We have to find the equation of parabola.

Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: 11. Find the general solution: 1 dy 2t dt 2t = - y t²

A: Solution :  Given differential equation  12tdydt=e2t-yt2

Q: graph and find: a. ends of the latus rectum b. equation of the directrix c. equation of the axis…

A: As we know that the standard form of the parabola is: y-k2=4px-h2 vertex: h,kfocal length: p Given:…

Q: (Б) 10 F10 4,0 10 (у— А)2 (х - с? B2 D²

A: Solution:- The labelled figure of above question is given below.

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

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…