Given that (1,5) is on the graph of f(x), find the corresponding point for the function f(x-1)

The point (1,5) on the graph of f(x) means x = 1 and y = 5

So we plug x = 1 into f(x) to get f(1) = 5

If we replace x with x-1, then we have x = 1 turn into x-1 = 1. Solve for x to get x = 2

So this means that the point (2,5) is on the graph of f(x-1). Every point on f(x-1) will be the result of shifting a corresponding point on f(x) 1 unit to the right.



Final (2,5)