WorksheetsGraphing Transformations
Total questions: 15
Worksheet time: 19mins
Name
Class
Date
1.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
2.
What are the transformations for the graph of
the parent function f(x) = √x to the function above
the parent function f(x) = √x to the function above
a)
Vertical Stretch by a factor of 2; translated down 5 units
b)
Shifted right 2 units and down 5 units
c)
Vertical stretch by a factor of 2; translated left 5 units
d)
Vertical stretch by a factor of 2; translated right one unit
3.
Describe the transformation from the Absolute Value Parent Function.
a)
Shift up 4 units
b)
Shift down 4 units
c)
Shift left 4 units
d)
Shift right 4 units
4.
Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
a)
f(x) = |2x + 1| - 9
b)
f(x) = |2x - 1| - 9
c)
f(x) = 2|x + 1| - 9
d)
f(x) = 2|x - 1| - 9
5.
Describe the transformation that occurred
p(x) = f(x + 3)
p(x) = f(x + 3)
a)
Right 3 units
b)
up 3
c)
Steeper
d)
Left three units
6.
.
The blue is f(x)=|x|, red must be
The blue is f(x)=|x|, red must be
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
7.
If (2, 3) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = f(x + 1) + 3
a)
(3 , 6)
b)
(1 , 6)
c)
(5 , 0)
d)
(-1 , 0)
8.
Describe the parent graph transformation
a)
h. stretch, left 1, down 3
b)
h. shrink, right 1, down 3
c)
v. shrink, left 1, down 3
d)
v. stretch, right 1, down 3
9.
Match the equation with the graph:
a)
y = (x - 1)2 - 2
b)
y = (x + 1)2 - 2
c)
y = (x - 2)2 + 1
d)
y = (x + 2)2 - 1
10.
Determine the equation for the red graph.
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
11.
What is the equation of this graph?
a)
y=2|x-3|+1
b)
y=2|x-1|+3
c)
y=-2|x-1|+3
d)
y=-2|x-1|+3
12.
Which choice correctly shows the vertical shift in the graph?
a)
(x-2)3
b)
(x+2)3
c)
x3 + 2
d)
x3 - 2
13.
Which choice correctly shows the horizontal shift in the graph?
a)
(x+1)3
b)
(x-1)3
c)
∛(x+1)
d)
∛(x-1)
14.
Choose the correct translated function.
a)
f(x)= -(x+1)2+4
b)
f(x)= (x-1)2-4
c)
f(x)= -(x+1)2-4
d)
f(x)= -(x+4)2-1
15.
Parent function, f(x) = x2. Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.
a)
b)
c)
d)
100 %
