Question

What is the midpoint of the x-intercepts of f(x) = (x-4)(x+4)

Answer 1

Answer:

(0,0)

Step-by-step explanation:

$f(x) = (x-4)(x+4)$

First we find x intercepts using f(x)

Set each factor =0 and solve for x

$x-4=0 , x=4$

$x+4=0, x=4$

So x intercepts are 4 and -4

To find midpoint we add both x intercepts and divide by 2

$\frac{+4-4}{2} =\frac{0}{2} =0$

midpoint occurs at x=0

When x=0 , the value of y is also 0 in the graph

So the midpoint is (0,0)

Answer 2

Answer:

0

Step-by-step explanation:

From the graph the x- intercepts are x = - 4 and x = 4

midpoint = $\frac{-4+4}{2}$ = 0 ← at the origin