Question

Assume that (a,b) is a point on the graph of f. What is the corresponding point on the graph of the following function?f(x-25)What is the point on the graph of f(x-25) that corresponds to the point (a,b) on the graph of f?

Answer 1

Given

There exist a point (a, b) on the original function f(x).

Two points are corresponding if they appear in the same place in two similar situations.

The new function f(x-25) is a function shifted right by 25 units.

Hence, the point on the graph of f(x-25) that corresponds to the point (a, b) on the graph of f is:

`(a+25,\text{ b)}`