Answer:
[tex]f(x)=-\frac{3}{7} (x+4)(x-4)(x-2)[/tex]
Step-by-step explanation:
If the graph passes through (-4, 0) (4, 0) and (2, 0) then it has 3 points of intersection with the x-axis.
Therefore, y = a(x + 4)(x - 4)(x - 2)
To find a, substitute the final point (3, 3) into the above equation and solve for a:
at (3, 3): 3 = a(3 + 4)(3 - 4)(3 - 2)
3 = -7a
a = -3/7
Therefore, [tex]y=-\frac{3}{7} (x+4)(x-4)(x-2)[/tex]
