Quiz about Parts of a Parabola

Question 1

True or False?
When the x-part is squared, the parabola opens up or down.

Accepted Answer

True

Answer

False

Question 2

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

Accepted Answer

true

Answer

false

Question 3

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

Accepted Answer

(-3,4)

Answer

(1,4)

Answer

(-1,6)

Answer

(-1,2)

Question 4

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

Accepted Answer

y = -6

Answer

x = 4

Answer

x = 2

Answer

y = -4

Question 5

What is the equation of this parabola?

Accepted Answer

(y-1)²= 4(x+3)

Answer

(y-1)² = -4(x-3)

Answer

(y+1)² = 4(x-3)

Answer

(y+1)² = -4(x+3)

Question 6

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

Accepted Answer

-2

Answer

8

Answer

-8

Answer

2

Question 7

The focus is inside the parabola

Accepted Answer

true

Answer

false

Question 8

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

Accepted Answer

true

Answer

false

Question 9

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

y intercept

Question 10

Given this directrix and vertex, what would the equation of the parabola be?

Accepted Answer

(y-2)² = 12(x-1)

Answer

(y-2)² = 6(x-1)

Answer

(x-1)² = 12(y-2)

Answer

(x-1)² = 6(y-2)

Question 11

Which direction does this parabola open?

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 12

What number would go in the blank?

Accepted Answer

-8

Answer

-2

Answer

-4

Answer

-16

Question 13

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

Accepted Answer

y² = 24(x+4)

Answer

(y+4)² = -12x

Answer

x² = 16(y+4)

Answer

(x+4)² = -20y

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