 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.

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Presentation transcript:

 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

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

Standard Form

Example 1 Graph the function: Minimum value is

Example 2 Graph the function: Maximum value is

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

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

x value of the vertex

Find the maximum or minimum value of the functions. Examples