Hyperbolas and Parabolas

What are the asymptotes of the hyperbola in the picture?

• y = x and y = –x

• y = 2x and y = –2x

• y = ¹/₂x and y = –¹/₂x

• y = 2x and y = 4x

Written in standard form, this would be . . .

• A

• B

• C

• D

What is the center of the hyperbola?

• (0, 4)

• (4, 0)

• (-4, 0)

• (0, -4)

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)

• (y+4)² = -12x

• x² = 16(y+4)

• (x+4)²  = -20y

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)

• ( -5, 2)

• (1 , -5 )

• (-1, -5 )

Which direction does this parabola open?

• Up

• Down

• Left

• Right

Write the equation of the parabola with a vertical axis, vertex (8, 10) and passing through the point (11, 28).