Parabola with Focus and Directrix

Find the focus and the directrix.

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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

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

• y = - 3

• x= 5

• y= - 5

• y= 2

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

• true

• false

Tags

CCSS.HSG.GPE.A.2

Given the graph, what is the equation of the parabola?

Find the equation of the parabola with Focus at (- 2,- 1) and Vertex (0, - 1).

Find the equation of the parabola with a vertex at (2, -3) and a focus at (2, -5).

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 __________ from ANY point on the parabola to the ______ is the SAME _________ from that same point to the __________!!

(a)  

The focus is a _____ that always lies _______ your parabola.

(a)