Hyperbolas and Parabolas

What are the foci of the hyperbola with the equation y²/12 - x²/5 = 1

• (0, ±√17)

• (±√17, 0)

• (0, ±√7)

• (±√7, 0)

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4

• x = 2

• y = -4

• y = -6

Find the vertex, focus, and directrix of the parabola with the given equation.

• vertex:  (3, 2) focus:  (5, 2) directrix:  x = 1

•  vertex:  (-3, -2) focus:  (-1, -2) directrix:  x = -5

• vertex:  (2, 3) focus:  (4, 3) directrix:  x = 0

• vertex:  (3, 2) focus:  (1, 2) directrix:  x = 5

How WIDE will this parabola be?

• 12

• 3

• (2,3)

• 24

The graph of the hyperbola is . . .

• A

• B

• C

• D

Determine the length of the transverse axis

• 1.5

• 2

• 3

• 4

A hyperbolic cooling tower for a power plant has a cross-section that forms a hyperbola. If the distance between the foci is 100 feet and the distance between the vertices is 60 feet, what is the length of the conjugate axis?

• 40 feet

• 50 feet

• 80 feet

• 100 feet

What is the value of a² for the given hyperbola?

• 1

• -2

• 25

• 16

Since the parabola opens right, then the a-value had to be...

• positive

• negative