04-1b+-+Transforming+Parent+Functions

We can also graph a quadratic function by applying transformations to the parent function. This process is similar to transforming linear functions, which we have already done.

Check out the handy chart:



Let's try an example. Consider the function g(x) = (x - 2)2 + 4

The parent function is f(x) = x 2

In this new function, h = 2 and k = 4

Since h is positive, we move the graph two units to the right. Since k is positive, we move the graph 4 units up. There is no coefficient written in front of the parentheses, so a = 1.

The graph is translated 2 units to the right and 4 units upward.



Here is a power point presentation on the topic

 Silent Version    <span style="display: block; font-family: Verdana,Geneva,sans-serif; font-size: 110%;"> <span style="display: block; font-family: Verdana,Geneva,sans-serif; font-size: 110%;">media type="file" key="Transforming Quadratic Functions.swf" width="330" height="330" <span style="display: block; font-family: Verdana,Geneva,sans-serif; font-size: 110%;"> <span style="display: block; font-family: Verdana,Geneva,sans-serif; font-size: 110%;">Proceed to Reflections, Stretches and Compressions