Parabolas Focus Directrix

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)

The focus is always inside the parabola.

• true

• false

All parabolas with a vertical directrix open the left or right.

• true

• false

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

• (2, - 5)

• ( -5, 2)

• (1 , -5 )

• (-1, -5 )

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

• true

• false

The vertex is halfway between the focus and directrix.

• true

• false

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3

• x= 5

• y= - 5

• y= 2

The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.

• True

• False

If the directrix is y = 4 and the focus is at 
(3, 0), the equation of the parabola is:

• y = (-1/8)(x - 3)² + 2

• x = (-1/8)(y - 2)² + 3

• y = (1/8)(x - 3)² + 2

• x = (1/8)(y - 2)² + 3

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4.

• y = (1/16)x²

• y² = 4x

• y² = 16x

• y = (1/4)x²

Tags

CCSS.HSG.GPE.A.2