The applet below has the graph of y=a(x-p)(x-q). You can change the value of a, p, and q, by moving the sliders.[br][br]Move the sliders a, p, and q, and see how the graph changes. Then, answer the questions below in your notebook.
[b]Question 1: [/b]How does "a" affect the graph of y=a(x-p)(x-q)?[b][br][br][/b][b]Question 2: [/b] How does "p" and "q" affect the graph of y=a(x-p)(x-q)?[br][br][b]Question 3: [/b]What are the x-intercepts of y=a(x-p)(x-q)?[br][br][b]Question 4: [/b]What are the x-intercepts of the following:[br]a) y=2(x-3)(x+1)[br]b) y=-(x+2)(x+8)[br]c) y=3(x+2)^2[br]d) y=8x(x-4)[br]e) y=x^2-2x-3