1. Graph Square Root and Cube Root Functions
Section 6.5
Graph Square Root and Cube Root Functions

2. 6.5 Opener Write the Parent equation for each of the
the graphed functions.
y=x3
y=x
y=x2
State the Domain and Range from each graph

3. Translations Review for f(x)
f(x) represents y, the output, the graph
f(x-h) moves the graph left or right
f(x) + k moves the graph up or down
af(x) a>1 vertical stretch
-1<a<1 horizontal stretch
-af(x) flip over x-axis
af(-x) flip over y-axis
f(x + 3)
f(x) - 2
5f(x)
0.5f(x)

4. Review: Graph the following:
y= -3x + 2

5. Lets hand graph and name the parents
6.5 The square root and cube root functions are also called RADICAL FUNCTIONS
Lets hand graph and name the parents

6. Parent Square Root

7. Parent Cube Root

8. Graphing Examples: X 1 4 9 Y X -1 1 Y

9. Graphing using a(x – h) +k form
Step 1: graph a f(x) using 3 points
Step 2: translate those 3 points left or right, then up or down.
Ex 1:
Ex 2:
Start at (h,k) and “a” acts as your slope