Warm Up
Expressions in different forms can be used to define the same function. Here are three ways to define a function .
| Standard form | Factored form | Vertex form |
Which form would you use if you want to find the following features of the graph of ? Be prepared to explain your reasoning.
1.
The -intercepts
Factored form. In factored form, we can see that the -intercepts, or roots, are located at and .
2.
The vertex
Vertex form. In vertex form, we can see that the graph has a vertex located at the point defined by .
3.
The -intercept
In standard form, we can see that the graph intersects the -axis at 3, but in any form, we can pretty easily find the -intercept when the input is 0.