Free Printable Parabola Review

1.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x-h)² + k

b)

f(x) = a(x-h)² + k

c)

f(x) = (x+h)² + k

d)

f(x) = a(x-h) - k

2.

What is the axis of symmetry in a function?

a)

The transformation of the graph

b)

The vertex, represented by (h,k)

c)

A vertical line that passes through the vertex and divides the parabola in half

d)

y = h

3.

What is the axis of symmetry in the function f(x) = (x-1)² +2

a)

x = 1

b)

1

c)

x = 2

d)

2

4.

Identify the vertex of f(x) = -2(x+1)² + 3

a)

(h,k)

b)

(3, 1)

c)

(-1,-3)

d)

(-1,3)

5.

Identify the maximum or minimum and the domain of the function y = -2(x+1)² + 4

a)

Max: 4, Domain: All Real Numbers

b)

Min: -4, Domain: All Real Numbers

c)

Max: 2, Domain: All real numbers when x is greater than 4

d)

Min: -2, Domain: All real numbers when x is less than 4

6.

Does the function y = (x+2)² have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

7.

Does the function y = -1/2(x+1)² have a maximum or minimum? Is this parabola wide or narrow?

a)

Maximum, wide

b)

Minimum, wide

c)

Maximum, narrow

d)

Minimum, narrow

8.

What is the equations for a quadratic function that has a vertex of (3,4)?

a)

y = a(x+3)² + 4

b)

y = a(x-3)² + 4

c)

y = -a(x+3) - 4

d)

y = a(x-3)² - 4

9.

What is the range of f(x) = 2(x+3)² + 1?

a)

(-∞,-3]

b)

[1,∞)

c)

(-∞,1]

d)

[-1,∞)

10.

What is the range of f(x) = -9(x-4)² + 3

a)

[4,∞)

b)

(-∞,4]

c)

[3,∞)

d)

(-∞,3]

11.

Identify the vertex of f(x) = 5(x+6)² - 7

a)

(5,6)

b)

(0,0)

c)

(6,-7)

d)

(-6,-7)

12.

What steps transform the graph y = x² to y = (x-4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

13.

Find the equation of the parabola that has moved...

5 units to the right

a)

y=x^2+5

b)

$y=x^2-5$

c)

$y=\left(x+5\right)^2$

d)

$y=\left(x-5\right)^2$

14.

Find the equation of the parabola that has moved...

8 units down

a)

$y=x^2+8$

b)

$y=x^2-8$

c)

$y=\left(x+8\right)^2$

d)

$y=\left(x-8\right)^2$

15.

Find the equation of the parabola that has moved...

3 units up

a)

y=x^2+3

b)

$y=x^2-3$

c)

$y=\left(x+3\right)^2$

d)

$y=3x^2$

16.

Find the equation of the parabola that has moved...

5 units to the left and is wide.

a)

$y=-\frac{1}{4}x^2+5$

b)

$y=\frac{1}{2}x^2-5$

c)

$y=\frac{1}{2}\left(x+5\right)^2$

d)

$y=3\left(x-5\right)^2$

17.

Find the equation of the parabola that has...

stretched by factor of 3

a)

y=3x^2

b)

$y=\frac{1}{3}x^2$

c)

$y=\left(x+3\right)^2$

d)

$y=x^2+3$

18.

Find the equation of the parabola that has a vertex at the origin and is narrow.

a)

y=3x^2

b)

$y=\frac{1}{3}x^2$

c)

$y=\left(x+3\right)^2$

d)

$y=x^2+3$

19.

Use your graphing calculator!

The pathway of an arrow can be represented by the equation h(t) = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

a)

h = 125 feet

b)

h = 80 feet

c)

h = 95 feet

d)

h = 140 feet

20.

Use your graphing calculator!

A Nerf dart is shot into the air and its height, h, after t seconds is given by the function

h(t) = -16t² + 64t + 960.

When does the dart hit the ground?

a)

10 seconds

b)

2 seconds

c)

5 seconds

d)

7 seconds

Parabola Review

Total questions: 20

Worksheet time: 46mins

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