Graph each ellipse and locate the foci.4x²+16y² = 64

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x²/100−y²/64=1

Graph the hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2 - x^2 = 16

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (7, 0); Directrix: x = - 7

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. y²/16−x²/36=1

Graph each ellipse and locate the foci. 7x² = 35-5y²

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (- 5, 0); Directrix: x = 5

Find the standard form of the equation of each ellipse and give the location of its foci.

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 4y²−x²=1

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. $9x^2-4y^2=36$

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (0, 15); Directrix: y = - 15

Find the standard form of the equation of each ellipse and give the location of its foci.

Find the standard form of the equation of each ellipse and give the location of its foci.

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (0, - 25); Directrix: y = 25

Graph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. $9y^2-25x^2=225$

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0,-4), (0,4); Vertices: (0, -2), (0,2)

Find the standard form of the equation of each parabola satisfying the given conditions. Vertex: (2, - 3); Focus: (2, - 5)

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (-8,0), (8,0); Vertices: (-3,0), (3,0)

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-5, 0), (5, 0); vertices: (-8, 0), (8,0)

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes.$y=\pm \sqrt{x^2-2}$

Explain why it is not possible for a hyperbola to have foci at (0,-2) and (0,2) and vertices at (0,-3) and (0,3).

Identify the conic represented by the equation without completing the square. y^2 + 4x + 2y - 15 = 0

Find the standard form of the equation of each hyperbola.

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (0, -4), (0, 4); vertices: (0, −7), (0, 7)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (3, 2); Directrix: x = - 1

Identify the conic represented by the equation without completing the square. 4x^2 - 9y^2 - 8x + 12y - 144 = 0

Find the standard form of the equation of each hyperbola.

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-2, 0), (2, 0); y-intercepts: -3 and 3

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (- 3, 4); Directrix: y = 2