Question 21
Find the vertices and locate the foci of each hyperbola with the given equation.
y^{2}/4  x^{2}/1 = 1

Question 22
Locate the foci of the ellipse of the following equation.
x^{2}/16 + y^{2}/4 = 1

Question 23
Find the standard form of the equation of each hyperbola satisfying the given conditions.
Center: (4, 2)
Focus: (7, 2)
Vertex: (6, 2)

Question 24
Locate the foci and find the equations of the asymptotes.
x^{2}/100  y^{2}/64 = 1

Question 25
Find the standard form of the equation of each hyperbola satisfying the given conditions.
Endpoints of transverse axis: (0, 6), (0, 6)
Asymptote: y = 2x

Question 26
Locate the foci of the ellipse of the following equation.
25x^{2} + 4y^{2} = 100

Question 27
Find the standard form of the equation of the following ellipse satisfying the given conditions.
Foci: (0, 4), (0, 4)
Vertices: (0, 7), (0, 7)

Question 28
Find the standard form of the equation of the ellipse satisfying the given conditions.
Endpoints of major axis: (7, 9) and (7, 3)
Endpoints of minor axis: (5, 6) and (9, 6)

Question 29
Find the vertex, focus, and directrix of each parabola with the given equation.
(y + 3)^{2} = 12(x + 1)

Question 30
Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.
y^{2}  2y + 12x  35 = 0

Question 31
Convert each equation to standard form by completing the square on x and y.
4x^{2} + y^{2} + 16x  6y  39 = 0

Question 32
Locate the foci and find the equations of the asymptotes.
4y^{2} – x^{2} = 1

Question 33
Convert each equation to standard form by completing the square on x and y.
9x^{2} + 16y^{2}  18x + 64y  71 = 0

Question 34
Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.
x^{2}  2x  4y + 9 = 0

Question 35
Find the vertex, focus, and directrix of each parabola with the given equation.
(y + 1)^{2} = 8x

Question 36
Find the focus and directrix of the parabola with the given equation.
8x^{2} + 4y = 0

Question 37
Convert each equation to standard form by completing the square on x and y.
9x^{2} + 25y^{2}  36x + 50y  164 = 0

Question 38
Find the standard form of the equation of each hyperbola satisfying the given conditions.
Foci: (4, 0), (4, 0)
Vertices: (3, 0), (3, 0)

Question 39
Find the focus and directrix of each parabola with the given equation.
x^{2} = 4y

Question 40
Locate the foci and find the equations of the asymptotes.
x^{2}/9  y^{2}/25 = 1
