Exploring Quadratic Functions
The graph has been constructed using sliders for the parameters. Drag the point both left and right to explore how each parameter transforms the graph. After exploring each parameter, answer the following two questions.
1) How does changing each parameter transform the graphical representation of the function?
2) Why does changing each parameter transform the graphical representation of the function in the manner that it does?
3) Consider . Based on what you learned, hypothesize the transformation of the graph. Then, use the sliders to see if your hypothesis was correct.