Transformations on a Parabola
Below is the parent function of y = x^2. Answer the questions below to see the affect of changing different parameters of the parent function. Answer these questions in your notebook; they are your notes for this section.
1. Move slider a so that a > 1. Take note of the changes of the parabola as a increases. 2. Move slider a so that 0<a<1. Take note of the effect of a now on the parabola. 3. What happens when a < 0? 4. Move slider a back to 1. Move slider b larger than 1. Describe what happens. 5. Move slider b between 0 and 1 and note what happens. 6. Last, move slider b less than 0 and note what happens. 7. Move slider b back to 1. Move slider h and note what the effect is on the graph when h is positive and when h is negative. 8. Move slider h back to 0. Move slider k and note what the effect is on the graph when k is positive and when it is negative.