Respuesta :

Answer:

D. Graph A

Step-by-step explanation:

First, notice the function can be factored easily:

[tex]y=x^2+10x+16 =(x+8)(x+2)[/tex]

So we can see that the function hits the y-axis at 2 points:

(-8,0) and (-2,0).

Which of the graphs in the picture show a parabola that hits the y-axis at those points?  Graph A is the only option.

So the answer is D. Graph A

Answer:

D. Graph A.

Step-by-step explanation:

x^2 + 10x + 16 = 0

(x + 2)(x + 8) = 0

x = -2, -8,   so the x-intercepts are at (-8, 0) and (-2, 0).

Therefore it is Graph A.