Question

Whats a function thats graph passes through (-4,0)(4,0)(3,3)(2,0)?

Answer 1

`f(x)=-(3)/(7) (x+4)(x-4)(x-2)`

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,
`y=-(3)/(7) (x+4)(x-4)(x-2)`