CC Coord. Algebra
Unit 3b – Linear and Exponential Functions
Day 3b.5 – Notes
Name: _______________________________________ Date: ________________________________
Transformations of Linear and Exponential Graphs
Use your calculator to graph the following. Use the table feature to accurately sketch
the graphs.
1. Graph the function y = x.
2. Graph the functions y = x + 2 and
y=x-4
x
y
x
y
x
y
3. What transformation do you observe when a number is added or subtracted to
the original linear function?
4. Graph the function y  2x
x
5. Graph the function y  2 x  4
y
x
y
6. What transformation do you observe when a number is added or subtracted to the
original exponential function? Do the same rules apply as with the linear function?
7. Graph the function y = x
x
8. Graph the functions y = 2x and y = ½ x
y
x
y
x
y
8. What transformation do you observe when the function is multiplied by a number
less than 1? ______________________
Greater than 1? ______________________
CC Coord. Algebra
Unit 3b – Linear and Exponential Functions
9. Graph the function y  2x
x
y
Day 3b.5 – Notes
10. Graph the functions y  3(2 x ) and
y  (1/ 3)(2 x )
x
x
y
y
11. What transformation do you observe when the function is multiplied by a number
less than 1? ______________________
Greater than 1? ______________________
12. Graph the y  2x
13. Graph the function y  2 x
x
x
y
y
14. What transformation do you observe when the function is multiplied by -1?
Let’s combine several transformations together.
15. Graph the function y  3 x  4
x
y
17. Did the individual rules still apply?
16. Graph the function y  (2)x  5
x
y
CC Coord. Algebra
Unit 3b – Linear and Exponential Functions
Day 3b.5 – Notes
Name: _______________________________________ Date: ________________________________
Transformations of Linear and Exponential Graphs-Classwork
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)  x  10
2. f(x)  2(4)x
3. f(x)   x  7
4. f(x)  3 x  2
5. f(x)  (3)x  5
6. f(x) 
1 x
2  4
3
7. f(x)  4(2)x  8