Quiz about Parts of a Parabola Review

Question 1

Describe the graph of the following equation:

x + 3 = (y - 1)²

Accepted Answer

Parabola Opens Right

Answer

Parabola Opens Up

Answer

Parabola Opens Down

Answer

Parabola Opens Left

Question 2

What direction does the parabola open?
(y-9)²= -40(x+4)

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 3

What is the vertex of the parabola?

Accepted Answer

(-3, -1)

Answer

(3, 1)

Answer

(1, 3)

Answer

(-1, -3)

Question 4

Which parabola opens down with a vertex at (-3, 4)?

Accepted Answer

y = -(x+3)² + 4

Answer

y = (x + 3)² - 4

Answer

y = -(x + 3)² - 4

Answer

y = (x + 3)² + 4

Question 5

Describe the graph of the following equation:

x + 3 = (y - 1)²

Accepted Answer

Parabola Opens Right

Answer

Parabola Opens Up

Answer

Parabola Opens Down

Answer

Parabola Opens Left

Question 6

Which conic is given by (x-4)² = 8(y - 3)?

Accepted Answer

Parabola

Answer

Hyperbola

Answer

Ellipse

Answer

Circle

Question 7

Which conic's equation has only 1 squared term?

Accepted Answer

Parabola

Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Question 8

The focus is always inside the parabola.

Accepted Answer

true

Answer

false

Question 9

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

Accepted Answer

y= - 5

Answer

y = - 3

Answer

x= 5

Answer

y= 2

Question 10

What is the focus of the following parabola?
(y + 5)²= -12 (x - 2)

Accepted Answer

(-1, -5 )

Answer

(2, - 5)

Answer

( -5, 2)

Answer

(1 , -5 )

Question 11

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

Accepted Answer

True

Answer

False

Question 12

What direction does the parabola open?
(y-9)²= -40(x+4)

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 13

What is "p" in the following equation?

(y-9)²=-40(x+4)

Accepted Answer

- 10

Answer

10

Answer

- 40

Answer

40

Question 14

What number would go in the blank?

Accepted Answer

-8

Answer

-2

Answer

-4

Answer

-16

Question 15

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 16

Given the equation of the parabola, where would the VERTEX be? (put in standard form by completing the square)

Accepted Answer

( 3 , 3)

Answer

(24, 3)

Answer

( - 24, 3)

Answer

(-3, 3)

Question 17

Which direction does this parabola open?

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 18

Find the equation of the figure shown.

Accepted Answer

x = 1/4(y-4)²+2

Answer

x = 1/8(y-3)²+4

Answer

y = 1/6(x-3)²+4

Answer

y = 1/4(x-3)²+4

Question 19

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

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 20

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

Accepted Answer

true

Answer

false

Question 21

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

Accepted Answer

true

Answer

false

Question 22

What direction does the parabola open?

Accepted Answer

Right

Answer

Up

Answer

Down

Answer

Left

Question 23

Given (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 24

Given (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 25

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

Question 26

Describe the graph of the following equation:

x + 3 = (y - 1)²

Accepted Answer

Parabola Opens Right

Answer

Parabola Opens Up

Answer

Parabola Opens Down

Answer

Parabola Opens Left

Question 27

Identify p from the following equation:

-40(x+4) = (y-9)²

Accepted Answer

p = - 10

Answer

p = 10

Answer

p = -40

Answer

p = 40

Question 28

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

Accepted Answer

y= - 5

Answer

y = - 3

Answer

x= 5

Answer

y= 2

Question 29

Identify the vertex for the following parabola:

y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(2,4)

Answer

(1,4)

Answer

(0,2)

Question 30

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 31

Find the vertex, focus, and directrix of the parabola: x² = 28y

Accepted Answer

Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

Answer

Vertex: (0, 0) Focus: (7,0) Directrix: y=7

Answer

Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

Answer

Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

Question 32

Question 32.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 33

Question 33.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 34

Question 34.

Accepted Answer

E

Answer

A

Answer

B

Answer

C

Answer

D

Question 35

Question 35.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

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