1.  Graph is a parabola.  Either has a minimum or maximum point.  That point is called a vertex.  Use transformations of previous section on x 2 and -x 2 to get graph of any quadratic function. 4.1 Quadratic Functions

2. Example f(x) = x 2 : shift up 4 units and shift to the left 5 units Minimum value is

3. Standard Form

4. Example 1 Graph the function: Minimum value is

5. Example 2 Graph the function: Maximum value is

6. Example 3 Find the maximum or minimum value of the function. Minimum value is x-intercepts = y-intercepts =

7. Find the maximum or minimum value of the function. Maximum value is Example 4

8. x value of the vertex

9. Find the maximum or minimum value of the functions. Examples