Free Printable Unit 4 Review (Quadratics)

1.

What is the Domain and Range of this graph

a)

D: 0 < x < 7 R: -3 < y < 3

b)

D: -4 ≤ x < 5 R: -3 < y < 3

c)

D: 5 ≤ x ≤ 12 R: -3 < y < 7

d)

D: -4 ≤ x < 5 R: -5 ≤ y ≤ 2

2.

Which of the following functions represents this graph?

a)

$y=3\left(x+2\right)^2-4$

b)

$y=2\left(x-1\right)^2+3$

c)

$y=\frac{1}{2}\left(x-3\right)^2-5$

d)

$y=-\frac{3}{2}\left(x-4\right)^2+6$

3.

a)

The initial height of the ball

b)

The maximum height of the ball

c)

The amount of time until the ball reaches its maximum height

d)

The time at which the ball hits the ground

4.

Write the equation of this parabola

a)

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

b)

$y=\left(x-4\right)^2+2$

c)

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

d)

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

5.

What is the Range of this graph?

a)

All Real Numbers

b)

0 ≤ y ≤ 5

c)

6 ≤ y < ထ

d)

6 ≤ y ≤ 10

6.

a)

260 ft/min

b)

2 ft/min

c)

520 ft/min

d)

100 ft/min

7.

a)

b)

c)

8.

What is the rate of change on the interval 0 < x < 3

a)

2

b)

1/3

c)

7/3

d)

2/3

9.

Andrea is selling candles at $10 each as a fundraiser. The function of her revenues (profit per item minus expenditures) can be modeled by

f(x) = 10x - 50.

What could the 50 represent in this equation?

a)

The amount she spent on supplies

b)

The number of candles she sells

c)

The maximum number of candles she can sell

d)

The cost of the candles

10.

Describe the transformations from f(x) to g(x)

a)

The graph of g(x) will be stretched by 2, reflected over the x-axis, and shifted up 4

b)

The graph of g(x) will be shifted up 5

c)

The graph of g(x) will be reflected over the x axis and shifted down 3

d)

The graph of g(x) will be shifted left 4, and down 2

11.

Is this table exponential, linear, quadratic, or none of the above?

a)

Exponential

b)

Quadratic

c)

Linear

d)

None

12.

a)

10m after 1 second

b)

25m after 1 second

c)

25m after 4 seconds

d)

10m after 4 seconds

13.

Is this table exponential, linear, quadratic or none of the above?

a)

Exponential

b)

Quadratic

c)

Linear

d)

None

14.

a)

Function A

b)

Function B

c)

Function C

d)

Function B and C have the same slope

15.

a)

-4

b)

3

c)

2

d)

4

16.

Is this table exponential, linear, quadratic, or none of the above?

a)

Exponential

b)

Quadratic

c)

Linear

d)

None

17.

The height in meters of a projectile at t seconds can be found by the function

h\left(t\right)=-5t^2+40t+1.2

Find the height of the projectile 4 seconds after it is launched.

a)

81.2

b)

1.2

c)

40

d)

75

18.

What are the Domain and Range of this function?

a)

D: ထ < x < ထ R: 1 ≤ y ≤ 10

b)

D: ထ < x < ထ R: 1 ≤ y < ထ

c)

D: 2 ≤ x ≤ 4 R: ထ < y < ထ

d)

D: 1 ≤ x < ထ R: ထ < y < ထ

19.

Identify the y-intercept and the vertex from the table

a)

y-int: (0,3) vertex: (2,-1)

b)

y-int: (3,0) vertex: (2,-1)

c)

y-int: (0,3) vertex: (0,3)

d)

y-int: (1,0) vertex: (0,3)

20.

Is the vertex of this graph a maximum or a minimum?

Is this graph concave up or concave down?

a)

maximum, concave up

b)

maximum, concave down

c)

minimum, concave up

d)

minimum, concave down

21.

What is the equation for this graph?

a)

$y=-\left(x+5\right)^2-1$

b)

$y=\left(x+1\right)^2-5$

c)

$y=\left(x-1\right)^2-5$

d)

$y=-\left(x+1\right)^2-5$

22.

$y=\left(x+5\right)^2-4$

Given the following equation, what is the vertex of this parabola?

a)

(5, -4)

b)

(-15, -4)

c)

(-5, -4)

d)

(15, -4)

23.

Is this table exponential, linear, quadratic, or none of the above?

a)

Exponential because it has a constant multiplier

b)

Quadratic because it has a constant second difference

c)

Linear because it has a constant rate of change

d)

None

Unit 4 Review (Quadratics)

Total questions: 23

Worksheet time: 46mins

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