Parabolas Focus Directrix

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Tags

CCSS.HSG.GPE.A.2

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

If a parabola has a focus at (0,3) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

• (−2,2)

• (−2,4)

• (−6,2)

• (−5,2)

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

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

p = __

Find the equation of the parabola described:
Focus at (10, 0);   directrix the line x = -10 

•  y² = 40x

•  y² = - 40x 

•  y² = 10x 

•  x² = 40y

Tags

CCSS.HSG.GPE.A.2

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

Tags

CCSS.HSG.GPE.A.2

What is the equation of a parabola with focus (9, 5) and directrix y = 1?

• 8(x - 9) = (y - 3)²

• 8(y - 3) = (x - 9)²

• 16(x - 9) = (y - 3)²

• 16(y - 3) = (x - 9)²

Tags

CCSS.HSG.GPE.A.2