Question

Write the equation of the graph shown below in factored form.

(the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three)

f(x) = (x + 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)

Answer 1

f(x) = (x+2)(x-1)(x-3)

Explanation:

f(-2) = 0, f(1) = 0, f(3) = 0. Therefore, (x+2), (x-1) and (x+3) are the factors