Question

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


(0,0)

(0,4)

(–4,0)

(2,0)

Answer 1

I think its c bc -4 and 4 is in the midpoint and -4 =0

Answer 2

Answer:

$(0,0)$

Step-by-step explanation:

The given function is,

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

x-intercepts are the points where the graph meets x axis or the value of the function f(x) becomes 0.

So the x intercepts will be,

$\Rightarrow f(x)=0$

$\Rightarrow (x-4)(x+4)=0$

$\Rightarrow x-4=0,x+4=0$

$\Rightarrow x=4,-4$

So the x intercepts will be,

$(-4,0),(4,0)$

Mid point of these two points will be,

$=\left(\dfrac{-4+4}{2},\dfrac{0+0}{2}\right)=(0,0)$