Analyzing graphs of power functions and polynomials
This will allow you to control the constants in the function:
You can use this dynamic worksheet to explore what happens when you change the power, do vertical and horizontal translations, and dilations/reflections. Sliding the constants along the slider bar and make observations about what happens. Make particular note of how the domain and end behavior change as you manipulate the power, p. Notice what happens when you change the transformations constants, a, b and c.