Build a polynomial P(x) that has zeros at x = -2, 1, 3, passes through the y-intercept (0, 12), and goes down on both the far-left and far-right ends.
Now graph your polynomial below.
What strategy did you use to adjust your polynomial so it hits the specific y-intercept at (0, 12) without changing where the x-intercepts are?
How did you determine whether your leading coefficient [i]a[/i] needed to be positive or negative to match the end behavior?
If another student set a = -2, how would that change the graph's vertical stretch compared to setting a = -1? How does [i]a[/i] affect the zeros?