Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below.
jeremiah: the y-intercept is at (15, 0).
lindsay: the x-intercepts are at (–3, 0) and (5, 0).
stephen: the vertex is at (–4, –1).
alexis: the midpoint between the x-intercepts is at (4, 0).
which student’s claim about the function is correct?

Stephen's claim is correct.

Step-by-step explanation:

The given function is

Put x=0 to find the y-intercepts.

The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.

Put f(x)=0, to find the x-intercept.

The x-intercepts are at (-3,0) and (-5,0). It means Lindsay's statement is incorrect.

                .... (1)

The vertex form of a parabola is

               .... (2)

Where, (h,k) is vertex.

From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.

The midpoint between the x-intercepts is

The midpoint between the x-intercepts is at (-4, 0). It means Alexis's statement is incorrect.