Question

Which factored polynomial is shown in the graph?

A) y = (x + 2)(x + 1)(x + 4)
B) y = (x + 2)(x − 1)(x + 4)
C) y = (x + 2)(x − 1)(x − 4)
D) y = (x − 2)(x − 1)(x + 4)

Answer 1

B

Explanation:

First, we can determine the zeros of the function.

We can see that the graph passes through the x-axis at the points: x = -4, -2, and 1.

Therefore, we have three factors:

`(x-(-4)),\, (x-(-2))\text{ and } (x-(1))`

Thus, our function will be:

`y=(x+4)(x+2)(x-1)`

Our answer is B.