Question

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?(0,0)(0,4)(–4,0)(2,0)

Answer 1

Given:

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

Required:

To find midpoint of intercepts.

Step-by-step explanation:

We know that when y=0,x=4,-4

therefore x- intercept of the function are (4,0) and (-4,0)

We know that the midpoint of this intercept is at equidistance from both the graph, therefore the points from which graph is equidistance is at origin (0,0)

Required answer:

Hence the midpoint of the x- intercepts of f(x) will be at (0,0) or at the origin of the graph so option 1 is correct.