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 one to a maximum around y equals two and goes back down through the x axis at two to a minimum around y equals negative two and back up through the x axis at three f(x) = (x + 1)(x − 2)(x − 3) f(x) = (x − 1)(x + 2)(x + 3) f(x) = (x + 1)(x + 2)(x + 3) f(x) = (x − 1)(x − 2)(x − 3)

Answer 1

f(x) = (x − 1)(x − 2)(x − 3)

Explanation:

through the x axis at one; x = 1 factor (x - 1)

through the x axis at two; x = 2 factor (x - 2)

through the x axis at three; x = 3 factor (x - 3)

f(x) = (x − 1)(x − 2)(x − 3)