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Quiz over 8-3 & 8-4

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
2.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
3.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
4.
Which equation is an absolute value graph shifted right 5 units?
a)
y = |x - 5|
b)
y = |x + 5|
c)
y = |x| + 5
d)
y = -5|x|
5.
a)
y = Ix + 2I - 1
b)
y = -Ix + 2I - 1
c)
y = -Ix - 2I - 1
d)
y = -Ix + 1I - 2
6.

Tell how the function transformed from y =|x|

y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretch by 2 and reflected over x-axis

d)

Shrink by 1/2 and reflected over the x-axis

7.
What shifts have occurred?
a)
left 1, up 5
b)
left 1, down 5
c)
right 1, down 5
d)
right 1, up 5
8.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected over the x axis.

a)

y=−∣x−15∣−3y=-\left|x-15\right|-3

b)

y=−∣x+15∣−3y=-\left|x+15\right|-3

c)

y=12∣x+3∣−15y=\frac{1}{2}\left|x+3\right|-15

d)

y=12∣x−3∣−15y=\frac{1}{2}\left|x-3\right|-15

e)

y=∣−x−15∣−3y=\left|-x-15\right|-3

9.
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 
10.
a)
y = Ix + 3I - 1
b)
y = Ix - 3I - 1
c)
y = Ix + 1I + 3
d)
y = Ix - 1I + 3
11.

Identify the Transformations.

a)

Stretch by 2 and down 4

b)

Shrink by ½ and down 4

c)

Stretch by 2 and up 4

d)

Shrink by ½ and right 4

12.

What transformations has the function undergone?

a)

reflect over y, stretch by 2, right 5, up 1

b)

reflect over x, shrink by 2, left 5, up 1

c)

reflect over x, stretch by 2, right 5, up 1

d)

reflect over y, shrink by -2, right 5, up 1

13.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
14.
  What is the equation for the red function? 
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
15.

The graph of a function is shown. What are the domain and range of this function? 

a)

Domain: all real #'s
Range: y ≤ 2

b)

Domain: x ≥ 2
Range:  all real #'s

c)

Domain:  all real #'s
Range:  all real #'s

d)

Domain: x ≤ 2
Range: y ≥ 2

16.
If f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?
a)
3 units right, 2 units up, reflected across the y-axis
b)
3 units right, 2 units up, reflected across the x-axis
c)
3 units left, 2 units up, reflected across the y-axis
d)
3 units left, 2 units up, reflected across the x-axis
17.
Describe the transformation of the graph  y = -2(x + 5)3 
a)
Shrink by 2, Reflected over y-axis, Right 5
b)
Stretch by 2, Reflected over x-axis, Left 5
c)
Stretch by 2, Reflected over x-axis, Right 5
d)
Shrink by 2, reflected over y-axis, Left 5
18.
What is the equation of the graph shown?
a)
y= (x-2)3 + 4
b)
y= (x+2)3 + 4
c)
y = - (x-2)3 + 4
d)
y= - (x+2)3 + 4
19.
What is the Domain of ALL Cube Root Functions in interval notation?
a)
(−∞,∞)
b)
−∞<x<∞
c)
(−∞,0]
d)
All Cube Root Functions are different.
20.

Which of the following is the graph of y = (x – 1)3 – 7?

a)
b)
c)
d)