6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
Warm Up
3. What are the domain and range of the function
6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
6.5 - Graph Square Root and Cube Root
Functions
Transformations on Radical Functions:
a: vertical stretch or shrink factor
(the graph reflects over the x-axis when a is
negative)
h: horizontal translation
k: vertical translation
6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
Ex 1: Describe the transformations on the parent function.
a)
b)
c)
6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
Ex 2: Write an equation for the function that performs the given transformation on the parent.
a) reflects over the x­axis and translates it to the left 12 units
b) vertically shrinks the graph by a factor of 1/8, translates it to the right 3 units and down 1 unit
6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
You Try!
1: Describe the transformations on the parent function.
b)
a)
c)
2. Write an equation for the function that performs the given transformation of the parent.
a) reflects over the x­axis, vertical stretch by a factor of 5, translates up 9 units
b) vertically shrinks the graph by a factor of 1/2, translates left 7 units, down 3 units
6.5 Graph Square Root and Cube Root Functions.notebook
December 15, 2016
You Try! Solutions
1: Describe the transformations on the parent function.
vertical stretch by a factor of 7, shift left 19 units, up 3 units
a)
b)
c)
shift right 9 units, down 8 units
vertical shrink by a factor of 1/4, right 4 units, up 5 units
2. Write an equation for the function that performs the given transformation of the parent.
a) reflects over the x­axis, vertical stretch by a factor of 5, translates up 9 units
b) vertically shrinks the graph by a factor of 1/2, translates left 7 units, down 3 units