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)

Answer 1

Given a function f(x);

Then, f(x-25) is a horizontal shift to the right by 25 units;

Thus, the corresponding point to (a,b) on the graph will still be same for the y-axis but the x-axis has been shifted.

Thus, we have;

$(a+25,b)$

The point on the graph of f(x-25) that coresponds to the point (a,b) on the graph of f is;

$(a+25,b)$