Parabola and Hyperbolas

A parabola is the set of all points equidistant from the focus and the directrix.

• true

• false

The vertex, (h, k), is halfway between the focus and the directrix.

• true

• false

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

Write an equation of the parabola with the given characteristics:

Opens Up

Vertex: (-2, 4)

1/16 unit away from the directrix

• y = -3/4

• y = 3/4

• y = -4/3

• y = 4/3

• y = I didn't watch the videos

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)