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Coord. Algebra Support
Unit 3B – Linear and Exponential Functions
3.26 - Practice
Name: _______________________________________ Date: ________________________________
Review of Transformations of Linear and Exponential Graphs
y  a  b
xh
k
Graph the following. Use the table feature to accurately sketch the graphs.
1. Graph the function f(x)  x  2 .
x
2. Graph the function f(x) 
x
y
Domain: __________
Domain: __________
Range: __________
Range: __________
X-int: ______Y-int:_______
X-int: ______Y-int:______
Transformations:
Transformations:
1.__________
1.___________
y
2.____________
1
4. Graph the function f(x)  (2)x  2
3
3. Graph the function f(x)  3(2)x  4
x
1
x2
3
x
y
Domain: __________
Domain: __________
Range: __________
Range: __________
Asymptote: __________
Asymptote: __________
Transformations:
Transformations:
1.__________2.____________
1.__________2.____________
y
Coord. Algebra Support
Unit 3B – Linear and Exponential Functions
3.26 - Practice
You should be able to describe the transformations (without graphing them) based on
the patterns you have observed during class.
Describe all the transformations.
1. f(x) 
1
x2
3
1. __________________ 2. __________________
2. f(x)  4(2)x  1
1. __________________ 2. __________________
3. f(x)  (3)x2  5
1. __________________ 2. __________________ 3. __________________
4. f(x)  2 x  4
1. __________________ 2. __________________ 3. __________________
1
5. f(x)   (2)x2  5 1. __________________ 2. __________________
2
3. __________________ 4. __________________
Given the following transformations, you should be able write the equation:
6. An exponential with a base of 2 that: stretches by 3, moves left 3, and down 2
f  x   __________________
7. A linear that: reflects over the x-axis, shrinks
1
, and moves up 11
4
f  x   __________________
8. An exponential with a base of 5 that: shrinks
1
and moves up 3
4
f  x   _________________
9. An exponential with a base of 3 that: reflects over the x-axis, stretches 4, moves to
the right 1, and up 8.
f  x   __________________
10. A linear that: reflects over the x-axis and moves up 3
f  x   __________________