1. Exercise #7
Transformations
Transformation:
Ex. Vertical shift
Ex. Horizontal shift
We can sketch the graph once we know the “parent” function.
Example
a) f ( x) x2 OR f ( x)
b) f ( x) x2 3 OR f ( x) 3
2
c) f ( x) x 3 OR f ( x 3)
Example
Explain the shifts of the graph f ( x) sin x 1 .
Example
Given f ( x) x 2 3 , graph:
a) the parent function
b) f ( x) 2
c) f ( x 1)