Answer:
y=-2x^2-8x-6
Step-by-step explanation:
We already have two x intercepts (-3,0) and (-1,0):
(-3,0) is the solution to x+3=0
(-1,0) is the solution to x+1=0
So what we have so far is (x+3)(x+1)=y
Now we do (x+3)(x+1)*?=y
Plug in (-5,-16):
(-5+3)(-5+1)*x=-16
(-2)(-4)*x=-16
8*x=-16
x=-2
So the equation is y=(x+3)(x+1)*-2 which is y=-2x^2-8x-6
Another possible graph is y=(x+1)(x+3)(x+3) or y=x^3+7x^2+15x+9
