Parabola Focus Directrix

Write the equation of the parabola shown...

• y²=8x

• y²=-8x

• x²=8y

• x²=-8y

Find the equation of the parabola with focus at (4, 5) and a directrix of x = 1.

Tags

CCSS.HSG.GPE.A.2

Identify the focus and directrix of the parabola: (y-2)² = 24(x-5)

• focus: (5, 7); directrix: y = -4

• focus: (5, -4); directrix: y = 7

• focus: (11, 2); directrix: y = -1

• focus: (-1, 2); directrix: y = 11

Tags

CCSS.HSG.GPE.A.2

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)

• (-1,6)

• (-1,2)

• (-3,4)

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

• x = 4

• x = 2

• y = -4

• y = -6

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

Which direction does this parabola open?

• Up

• Down

• Left

• Right

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

• y = - 3

• x= 5

• y= - 5

• y= 2

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)