Parabola with Focus and Directrix

Parabola with Focus and Directrix

11th Grade

19 Qs

quiz-placeholder

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Parabola with Focus and Directrix

Parabola with Focus and Directrix

Assessment

Quiz

Mathematics

11th Grade

Hard

CCSS
HSG.GPE.A.2

Standards-aligned

Created by

Anthony Clark

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The focus is always inside the parabola.

true

false

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(1,4)

(-1,6)

(-1,2)

(-3,4)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

x = 4

x = 2

y = -4

y = -6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the focus and the directrix. \(x=y^2\)

Media Image
Media Image
Media Image
Media Image

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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