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Unit 3 Review

Total questions: 34

Worksheet time: 3hrs 12mins

Name
Class
Date
1.

What is m(4) if:

a)

-3

b)

0.5

c)

0

d)

-3.5

2.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

3.

What is f(1)?

a)

6

b)

-2

c)

sqrt(2)

d)

Undefined

4.
What is the equation of the graph below?
a)
f(x) = I x I + 1
b)
f(x) = I x I - 1
c)
f(x) = -I x I + 1
d)
f(x) = -I x I - 1
5.
What is the equation of the graph below?
a)
f(x) = I x + 2 I 
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I 
6.
Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3
a)
reflected over x axis, stretched by 2, right 3, up 3
b)
reflected over x axis, stretched by 2, left 3 up 3.
c)
reflected over x axis, shrunk by 2, right 3, up 3
d)
reflected over the x axis, shrunk by 2, left 3, up 3
7.
What is the equation of the absolute value function?
a)
f(x)= 4|x+3|
b)
f(x)= 1/4 |x+3|
c)
f(x)= 1/4 |x - 3|
d)
f(x)= 4|x - 3|
8.

Describe the transformations of the following function when compared to the absolute value parent function.

y= -2|x+10|+3

a)

Reflection across the x-axis

b)

Vertical stretch by a factor of 2

c)

Shift left 10 units

d)

Shift right 10 units

e)

Shift up 3 units

9.

What is the vertex of this equation?

f(x)=−12∣x+4∣−9f\left(x\right)=-\frac{1}{2}\left|x+4\right|-9  

a)

(-4, 9)

b)

(-4, -9)

c)

(4, 9)

d)

(4, -9)

10.
Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9
a)
Left 4
up 9
b)
Left 4
Down 9
c)
Right 4
up 9
d)
Right 4
Down 9
11.
Which equation below is a quadratic?
a)
y=9x+5
b)
y=3x2-6
c)
y=5x3+6
d)
x=3x
12.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
13.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
14.
What is the domain of the function?
a)
D:{ x > 3}
b)
D:{x < 3}
c)
D:{all real numbers}
d)
D:{ -1 < x < 5}
15.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
16.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
17.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
18.
If each mark on the x-axis represents one second, when did the object reach the ground?
a)
2.5 seconds
b)
6 seconds
c)
5.5 seconds
d)
5 seconds
19.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
20.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
21.
Which inequality is shown?
a)
y< -x2
b)
y≤ -x2
c)
y> -x2
d)
y≥ -x2
22.

Which inequality is represented by the graph?

a)

y > (x - 3)² - 3

b)

y ≥ (x + 3)² - 3

c)

y > (x + 3)² - 3

d)

y ≥ (x - 3)² - 3

23.
a)
y ≥ -(x + 4)² + 1
b)
y < -(x - 4)² + 1
c)
y ≤ (x - 4)² + 1
d)
y ≤ -(x - 4)² + 1
24.

Which inequality is represented by the graph?

a)

y > -(x - 4)² + 1

b)

y > -(x - 1)² + 4

c)

y < (x - 4)² + 1

d)

y > (x + 4)² + 1

25.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
26.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
27.
Convert the equation y= x2+4x into vertex form. 
a)
y= (x+4)2-4
b)
y= (x-2)2+4
c)
y= (x+2)2-4
d)
y= (x+2)2
28.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

29.

What is true for: y = ½(x - 4)² - 4

a)

Opens up with a minimum

b)

Opens down with a maximum

c)

Opens left

d)

Opens right

30.

Convert f(x) = 3x2+ 6x - 5 to vertex form.

a)

f(x) = 3(x + 1)2 - 8

b)

f(x) = 3(x - 1) 2 - 8

c)

f(x) = 3(x + 2)2 - 8

d)

f(x) = 3(x - 2)2 - 8

31.

Convert f(x) = 4x2 - 32x + 2 to vertex form.

a)

f(x) = 4(x + 4)2 - 62

b)

f(x) = 4(x - 4)2 - 62

c)

f(x) = 4(x - 8)2 - 62

d)

f(x) = 4(x + 8)2 - 62

32.

Which graph matches the function:

y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

33.

What is the correct equation for this graph?

a)

y < |x+4| -3

b)

y ≤ |x+4|+ 3

c)

y ≤ |x-4| -1

d)

y < 1/2|x+4| + 1/2

34.

What is the correct equation for this graph?

a)

y ≤ 2|x-1| - 1

b)

y ≤ 1/2|x-1| + 4

c)

y ≥ -2|x+1| - 2

d)

y ≥ -2|x-1| + 1

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