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 three to a maximum around y equals twenty and goes back down through the x axis at one to a minimum around y equals negative twelve point five and back up through the x axis at four

f(x) = (x − 3)(x + 1)(x + 4)
f(x) = (x + 3)(x − 1)(x − 4)
f(x) = (x + 3)(x + 1)(x + 4)
f(x) = (x − 3)(x − 1)(x − 4)

Answer 1

f(x) = (x + 3)(x − 1)(x − 4)

Explanation:

the graph starts at the bottom left and continues up through the x axis at negative three to a maximum around y equals twenty and goes back down through the x axis at one to a minimum around y equals negative twelve point five and back up through the x axis at four

for a graph, the y axis is the vertical part of the graph, the x axis is the horizontal

following the instruction given , you notice that

x=-3

x=1

x=4

therefore

f(x) = (x + 3)(x − 1)(x − 4)

(x + 3)(x − 1)(x − 4)

Answer 2

Its the second option:

f(x) = (x + 3)(x - 1)(x - 4).

Explanation:

As it passes through x = -3 that is one root so one factor is (x + 3).

As it also passes through x = 1 another factor is (x - 1).

Also as it passes through x = 4 the third factor is (x - 4).