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Graph Transformations (UAS12)

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.
  . 
The blue graphs is the parent function f(x)=|x|, the red must be
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
2.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
3.
Name the parent function.
a)
linear
b)
quadratic
c)
absolute value
d)
cubic
4.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
5.
What transformation occurred?
a)
f(x+4)
b)
f(x) + 4
c)
f(x-4)
d)
f(x) -4
6.

What are the following transformations?

g(x) = - f(x+2)

a)

reflection over the y axis and translation 2 units to the right

b)

reflection over the x axis and translation 2 units right

c)

reflection over the y axis and translation 2 units left

d)

reflection over the x axis and translation 2 units left

7.
a)
A.
b)
B.
c)
C.
d)
D.
8.
a)
y = Ix + 2I - 1
b)
y = -Ix + 2I - 1
c)
y = -Ix - 2I - 1
d)
y = -Ix + 1I - 2
9.

Write an absolute value function given the following transformations:

Horizontal shift right 2 units

Reflection across the x-axis

Vertical shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

10.
Describe the transformation:
a)
f(x +3)
b)
f(x-3)
c)
f(x) - 3
d)
f(x) + 3