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MissPhiladelphia
The x-intercept is defined to be the value of x when y is zero. Based on the graph of the function: f(x) = (x-4)(x+4), the x-intercepts are located at (-4, 0) and (4,0). At these points the graph intersects the x-axis. The midpoint of the x-intercepts is located at the middle of the two points. In this case, the graph shows that it is at the origin or at (0,0). 

The midpoint of the x-intercepts of f(x)=(x-4)(x+4) will be at point (0,0), therefore, the origin of the graph.

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

We know that when y=0, x= 4,-4, therefore, the x-intercept of the function are (4,0) and (-4,0).

We know that the mid-point of this intercept is at equidistance from both the graph, therefore, the point, from which both the points are at equidistance are (0,0), therefore the origin.

Hence, the midpoint of the x-intercepts of f(x)=(x-4)(x+4) will be at point (0,0), therefore, the origin of the graph.

Learn more about Midpoint:

https://brainly.com/question/8943202

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