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WorksheetsFunction Transformations
Total questions: 40
Worksheet time: 20mins
Name
Class
Date
1.
g(x)=2f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been stretched vertically by a scale of two.
b)
f(x) has been translated up two.
c)
f(x) has been translated down two.
d)
f(x) has been stretched horizontally by a scale of two.
2.
(1/5)g(x)=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been horizontally compressed by a scale of 1/5.
b)
f(x) has been vertically compressed by a scale of 1/5.
c)
f(x) has been translated up 5.
d)
f(x) has been translated up 1/5.
3.
g(x)=6f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been vertically stretched by a scale of 6.
b)
f(x) has been vertically compressed by a scale of 6.
4.
g(x)=10f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been horizontally compressed by a scale of 1/10.
b)
f(x) has been horizontally stretched by a scale of 10.
c)
f(x) has been translated up 10.
d)
f(x) has been translated right 10.
5.
4g(x)=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been horizontally stretched by a scale of four.
b)
f(x) has been vertically stretched by a scale of 4.
c)
f(x) has been translated down four.
d)
f(x) has been translated left four.
6.
g(x)=(1/3)f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been stretched vertically by a scale of three.
b)
f(x) has been stretched horizontally by a scale of three.
c)
f(x) has been translated to left three.
d)
f(x) has been translated down three.
7.
g(x)=5f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been vertically stretched by a scale of 5.
b)
f(x) has been vertically compressed by a scale of 5.
8.
g(x)=6f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been horizontally compressed by a scale of 1/6.
b)
f(x) has been horizontally stretched by a scale of 6.
9.
g(x)=5f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been horizontally compressed by a scale of 1/5.
b)
f(x) has been horizontally stretched by a scale of 5.
10.
g(x)=(1/7)f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been stretched vertically by a scale of 7.
b)
f(x) has been compressed vertically by a scale of 1/7.
11.
g(x)=(1/7)f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been stretched horizontally by a scale of 7.
b)
f(x) has been compressed horizontally by a scale of 1/7.
12.
(1/2)g(x)=f(x)
a)
f(x) has been stretched vertically by a scale of 2.
b)
f(x) has been compressed vertically by a scale of 1/2.
13.
(1/2)g(x)=f(x)
a)
f(x) has been compressed horizontally by a scale of 1/2.
b)
f(x) has been stretched horizontally by a scale of 2.
14.
g(x)=f(x)+2
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 2.
b)
f(x) has been translated down 2.
15.
g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated down 4.
b)
f(x) has been translated up 4.
16.
g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 6.
b)
f(x) has been translated down 6.
17.
g(x)=f(x)-3
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 3.
b)
f(x) has been translated down 3.
18.
g(x)+2=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 2.
b)
f(x) has been translated down 2.
19.
g(x)-3=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 3.
b)
f(x) has been translated down 3.
20.
g(x)+5=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 5.
b)
f(x) has been translated down 5.
21.
g(x)-1=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated up 1.
b)
f(x) has been translated down 1.
22.
g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the right 4.
b)
f(x) has been translated to the left 4.
23.
g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the right 3.
b)
f(x) has been translated to the left 3.
24.
g(x)=f(x+5)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left 5.
b)
f(x) has been translated to the right 5.
25.
g(x)=f(x+9)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left 9.
b)
f(x) has been translated to the right 9.
26.
g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been reflected over the x-axis.
b)
f(x) has been reflected over the y-axis.
27.
g(x)=-2f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been vertically stretched by a scale of 2 and reflected over the x-axis.
b)
f(x) has been vertically stretched by a scale of 2 and reflected over the y-axis.
c)
f(x) has been horizontally stretched by a scale of 2 and reflected over the y-axis.
d)
f(x) has been horizontally stretched by a scale of 2 and reflected over the x-axis.
28.
g(x)=-4f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been reflected over the x-axis and vertically compressed by a scale of 4.
b)
f(x) has been reflected over the x-axis and vertically stretched by a scale of 1/4.
c)
f(x) has been reflected over the x-axis and horizontally stretched by a scale of 4.
d)
f(x) has been reflected over the x-axis and vertically stretched by a scale of 4.
29.
g(x)=(-1/4)f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been vertically compressed by a scale of 4.
b)
f(x) has been reflected over the x-axis and compressed vertically by a scale of 1/4.
c)
f(x) has been reflected over the x-axis and stretched vertically by a scale of 4.
d)
f(x) has been reflected over the y-axis and translated to the left 4.
30.
-g(x)=f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been reflected over the x-axis.
b)
f(x) has been reflected over the y-axis.
31.
g(x)=-4f(x-3)+5
Which of the following is NOT true?
Which of the following is NOT true?
a)
f(x) has been translated to the right 3.
b)
f(x) has been translated up 5.
c)
f(x) has been reflected over the x-axis.
d)
f(x) has been vertically compressed by a scale of 4.
32.
g(x)=-2f(x-3)-4
Which of the following is NOT true?
Which of the following is NOT true?
a)
f(x) has been reflected over the x-axis.
b)
f(x) has been translated to the right 3.
c)
f(x) has been translated up 4.
d)
f(x) has been stretched vertically by a scale of 2.
33.
g(x)=3f(x+2)-5
Which of the following is NOT true?
Which of the following is NOT true?
a)
f(x) is reflected over the x-axis.
b)
f(x) has been translated to the left 2.
c)
f(x) has been translated down 5.
d)
f(x) has been stretched vertically by a scale of 3.
34.
g(x)=(1/5)f(x-4)+8
Which of the following is NOT true?
Which of the following is NOT true?
a)
f(x) is compressed vertically by a scale of 1/5.
b)
f(x) has been translated to the right 4.
c)
f(x) has been translated up 8.
d)
f(x) has been reflected over the x-axis.
35.
g(x)=f(x+2)-3
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left two and down three.
b)
f(x) has been translated to the right two and down three.
c)
f(x) has been translated to the left two and up three.
d)
f(x) has been translated to the right two and up three.
36.
g(x)=f(x-4)+6
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left four and down six.
b)
f(x) has been translated to the right four and down six.
c)
f(x) has been translated to the left four and up six.
d)
f(x) has been translated to the right four and up six.
37.
g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left one and down five.
b)
f(x) has been translated to the right one and down five.
c)
f(x) has been translated to the left one and up five.
d)
f(x) has been translated to the right one and up five.
38.
g(x)=f(x+3)-4
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left three and down four.
b)
f(x) has been translated to the right three and down four.
c)
f(x) has been translated to the left three and up four.
d)
f(x) has been translated to the right three and up four.
39.
g(x)=f(x+2)+7
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left two and up seven.
b)
f(x) has been translated to the left two and down seven.
c)
f(x) has been translated to the right two and up seven.
d)
f(x) has been translated to the right two and down seven.
40.
Which of the following is NOT true?
a)
A vertical compression implies a horizontal stretch.
b)
A vertical compression implies a horizontal compression.
c)
A vertical stretch implies a horizontal compression.
d)
Lee High School opened in 1958.
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