Alg 2
7.5
Graphing Square Root and Cube Root Functions
A look back at the notes from section 2.8:
In this section we found out how to graph absolute value functions. By figuring out
how to move the vertex we knew where to place the new vertex.
Identify the vertex of the graph.
5.
y  x 5 3
6.
9.
y  2 x 6
10.
y  4 x  3
y  x 1  2
2
x 4
3
7.
y
11.
y  5 x  3
8.
12.
y  4 x2 3
y  3 x  4  7
We are going to apply the same idea to the graphs of square roots and cube roots.
If we start with y  x , tell how to change the graph.
y  x 4
y  x2
y  x 3
y  x5
y x
y  x  4 1
y2 x
y   x 3
If we start with y  3 x , tell how to change the graph.
y  3 x4
y  3 x 2
y  3 x 1
y  3 x 5
y  23 x
y  3 x 1 1
y  3 x
y  3 x  3 1
Alg 2
Now for the actual graphs.
x
y x
-1
0
1
2
x
-1
0
1
y3 x
7.5
Graphing Square Root and Cube Root Functions
Alg 2
7.5
Graphing Square Root and Cube Root Functions
y  x 4
y  x5
y  x  4 1
Alg 2
7.5
Graphing Square Root and Cube Root Functions
y  3 x 1
y  3 x 5
y  23 x