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Alg 2 Chapter 1 Test Review (2022)

Total questions: 23

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 
a)
Left 4
b)
Right 4
c)
Up 4
d)
Down 4
2.

Describe the transformation of the equation below:


y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

3.

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

4.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, up 5

5.

Describe the transformation from the Absolute Value Parent Function.

a)

Stretches more narrow, shifts up 4 units

b)

Stretches more narrow, shifts down 4 units

c)

Compresses wider, shifts down 4 units

6.

Describe the transformations of the absolute value equation.

a)

Flips to A shape, compresses wider, shifts right 1 unit

b)

Flips to A shape, compresses wider, shifts up 1 unit

c)

Flips to A shape, stretches more narrow, shifts up 1 unit

7.

What is the transformation of the graph below:


y = |x| - 8

a)

Shift up

b)

Shift down

8.
Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
a)
y = -|x + 2| - 7 
b)
y = |x - 2| - 7 
c)
y = -|x - 2| - 7
d)
y = -|x - 2| + 7
9.
Write the equation for a graph that shifts down 9.
a)
y=|x|-9
b)
y=|x-9|
c)
y=-9|x|
d)
y=|x|+9
10.
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
11.
How did we transform from f(x) =x2 
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection x-axis and vertical stretch
c)
horizontal stretch
d)
reflection x-axis and vertical compression
12.
Match the description to its equation:
moves down 3
a)
A
b)
B
c)
C
d)
D
13.
If the blue graph is
f(x) = x2 
then the red must be...
a)
g(x) = x2 - 5
b)
g(x) = x2 + 5
c)
g(x) = (x - 5)2
d)
g(x) = (x + 5)2
14.
What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?
a)
horizontal shift down and vertical shift left
b)
horizontal shift left and vertical shift down
c)
horizontal shift right and vertical shift up
d)
horizontal shift up and vertical shift right
15.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
16.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
17.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
18.

What is the domain of this function? You can click on the image to see an enlarged view.

a)

All Real Numbers

b)

f(x) ≥ -2

c)

f(x) ≥ 2

d)

x ≥ -2

19.

What is the range of this function? You can click on the image to see an enlarged view.

a)

All real numbers

b)

y > -2

c)

y ≥ -2

d)

y > 2

20.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
21.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
22.

What is the slope of this line?

a)

2.2

b)

0.67

c)

1.5

d)

.75

23.

What is the formula of this graph?

a)

y = - 2/3x + 5

b)

y = 2/3x + 5

c)

y = - 5x + 2/3

d)

y = 5x + 2/3