1. Transforming Polynomial Functions

2. Recall Vertex Form of Quadratic Functions: a h K The same is true for any polynomial function of degree “n”!

3. Example 1: a)State the translation in words. b)Graph the parent function and the translation on the same coordinate plane. c)Prove It! Pick a point on the graph (ex. A zero of the function or a min/max), and state where the image appears on the translation.

4. Example 2: The graph of g(x) is the graph of f(x) = x 3 after a series of transformations. Write the equation of g(x). Domain: Range:

5. Example 3: Now suppose the graph of g(x) from Example 2 is translated 4 units right and 5 units down to get the graph of h(x). What is the equation of h(x)? Domain: Range:

6. Example 4: The graph of g(x) is the graph of f(x)=x 4 after a horizontal and vertical translation. Write the equation of g(x). Domain: Range:

7. Example 5: Without graphing, explain how the graph of is related to the graph of Domain: Range: