JHolm Transforming Quadratic Functions
We will be exploring how changing parts of a quadratic function affect the graph of the function. As you follow the instructions with the sliders, pay close attention to the changing values of each slider and what transformations are happening to the graph.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
a. As you adjust the a (red) slider, how does the graph change? b. What makes the graph reflect (flip)?
Can you describe the different a values and what happens to the graph as they get larger or smaller?
How do each of the values , , and in affect the parent graph
Do you agree with the following statement? Why or why not? Every quadratic function will only output positive numbers.
How do each of the values , , and in affect the parent graph ?
What do you think the h and k represent? (there may be more than one answer)