Free Printable Chapter 2 Review

1.

Identify the domain and range of the function.

a)

Domain: $\left[-6,\ 2\right]$

Range: $\left[-3,\ 5\right]$

b)

Domain: $\left(-\infty,\ \infty\right)$
Range: $\left[-3,\ 5\right]$

c)

Domain: $\left(-\infty,\ \infty\right)$
Range: $\left[-3,\ \infty\right)$

d)

Domain: $\left(-\infty,\ \infty\right)$
Range: $\left(-\infty,\ -3\right]$

2.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

b)

The ball was kicked from the ground and it was in the air for 4 seconds.

c)

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

d)

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

3.

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

a)

f(x)= -(x-4)²+7

b)

f(x)= (x+4)²+7

c)

f(x)= -(x+4)²+7

d)

f(x)= (x-4)²+7

4.

What is the range for the function below?

a)

$\left(-\infty,\ 4\right]$

b)

$\left[4,\ \infty\right)$

c)

$\left(-\infty,\ \infty\right)$

d)

$\left[-3,\ 1\right]$

5.

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

a)

10 feet

b)

19 feet

c)

13 feet

d)

16 feet

6.

Which of the following equations matches standard form of a quadratic?

a)

y = x²

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = a(x-p)(x-q)

7.

What is the axis of symmetry for the following equation?

y=4x²-8x+9

a)

x = -5

b)

x = -1

c)

x = 1

d)

x = 5

8.

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

9.

How did we transform from the parent function y = x²to y = -1/5(x - 1)² + 7 ?

a)

reflection in x axis, vertical stretch of 5, translation right 1 unit, translation 7 units up

b)

translation 1 unit right, reflection in y axis, vertical shrink of 1/5, translation 7 units up

c)

translation 1 unit left, reflection in x axis, vertical shrink of 1/5, translation 7 units up

d)

translation 1 unit right, reflection in x axis, vertical shrink of 1/5, translation 7 units up

10.

What is the maximum value of the function shown?

a)

4

b)

3

c)

1

d)

-3

11.

Find the Vertex: y= -5x²-20x - 26

a)

(- 2, - 6)

b)

(2, - 86)

c)

(2, 6)

d)

(3, 6)

12.

Find the Vertex: y= x²- 4

a)

(0,0)

b)

(0,4)

c)

(0,-4)

d)

(4,0)

13.

Find the Axis of Symmetry of y= - 2x²+ 8x -5

a)

x = - 4

b)

x = 2

c)

x = 4

d)

x = - 2

14.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

15.

Write a quadratic function with a vertex of (-4, 5) and the point (-5, 3).

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

16.

Write a function g with the given transformation of f(x)=x² ; translation three units to the left and 4 units down followed by a reflection in the x-axis.

a)

f(x)= - (x-3)²-4

b)

f(x)= - (x-3)²+4

c)

f(x)= - (x+3)²-4

d)

f(x)= - (x+3)²+4

17.

Describe the transformation from f(x)=x² to f(x)=2x²+5 ?

a)

horizontal stretch of 2, translation 5 units up

b)

horizontal shrink of 1/2, translation 5 units up

c)

horizontal shrink of 1/2, translation 5 units left

d)

vertical stretch of 2, translation 5 units up

18.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)

$y=-\frac{4}{3}\left(x-3\right)^2-7$

b)

$y=-\frac{3}{4}\left(x-3\right)^2-7$

c)

$y=\frac{3}{4}\left(x-3\right)^2-7$

d)

$y=\frac{4}{3}\left(x-3\right)^2-7$

19.

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

a)

$y=-6\left(x+5\right)^2+9$

b)

$y=-\frac{3}{2}\left(x+5\right)^2+9$

c)

$y=-\frac{2}{3}\left(x+5\right)^2+9$

d)

$y=-\frac{1}{6}\left(x+5\right)^2+9$

e)

$y=6\left(x+5\right)^2+9$

20.

Which quadratic function in intercept form best represents the graph that has intercepts -2 and 5 and passes through the point (6, 56)?

a)

$y=\frac{11}{28}\left(x-2\right)\left(x+5\right)$

b)

$y=\frac{28}{11}\left(x-2\right)\left(x+5\right)$

c)

$y=\frac{1}{7}\left(x+2\right)\left(x-5\right)$

d)

$y=7\left(x+2\right)\left(x-5\right)$

21.

Which quadratic function in intercept form best represents the graph that has intercepts 2 and 4 and passes through the point (5, 15)?

a)

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

b)

$y=\frac{1}{5}\left(x-2\right)\left(x-4\right)$

c)

$y=\frac{5}{21}\left(x+2\right)\left(x+4\right)$

d)

$y=\frac{21}{5}\left(x+2\right)\left(x+4\right)$

22.

Given: vertex (1, 18) and zeros -2 and 4 What is the equation of the quadratic function in factored form?

a)

y = 2(x -2) (x + 4)

b)

y = -2 (x + 2)(x - 4)

c)

y = 1/2 (x+ 2) (x - 4)

d)

y = -1/2 ( x + 2) ( x - 4)

23.

Given the parabola has the zeros of -10 and 4 what is the axis of symmetry?

a)

x = - 7

b)

x = - 3

c)

x = 3

d)

x = 7

24.

Write an equation in Standard Form

a)

A

b)

B

c)

C

d)

D

25.

Graph the equation

a)

A

b)

B

c)

C

d)

D

26.

Graph the equation

a)

A

b)

B

c)

C

d)

D

27.

Graph the equation

a)

A

b)

B

c)

C

d)

D

28.

Graph the equation

a)

A

b)

B

c)

C

d)

D

29.

Graph the equation

a)

A

b)

B

c)

C

d)

D

30.

Graph the equation

a)

A

b)

B

c)

C

d)

D

Chapter 2 Review

Total questions: 30

Worksheet time: 2hrs 46mins

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