Answer:
Step-by-step explanation:
The factors are (x+1) and (x-2) found from the zeros. The y-intercept is (0-4). We will fill in the formula:
y=a(x+1)(x-2) and solve for a, using the fact that, from the y-intercept, x=0 and y=-4:
[tex]-4=a(0+1)(0-2)[/tex] and
[tex]-4=a(1)(-2)[/tex] so
-4 = -2a and
a = 2.
Now we have
[tex]y=2(x+1)(x-2)[/tex] We'll FOIL that out and distribute in the 2 to get
[tex]y=2x^2-2x-4[/tex]
