Question

Given that (-3,1) is on the graph of f(x), find the corresponding point for the function f(x-1)

Answer 1

(-2,1)

Explanation:

So we are given f(-3)=1 since the point (-3,1) is on f(x).

We want to use this point to find a point on f(x-1).

Now,

f(-3)=1

and we want

f(x-1)=1

What would x need to be such that x-1 is -3.

x-1=-3

Add 1 on both sides:

x=-3+1

x=-2

x would need to be -2 in f(x-1)=1 in order to use that f(-3)=1.

So (-2,1) is the point for the function f(x-1) that corresponds to the point (-3,1) for f(x).

I know that f(x-1) would only be effecting our input because x-1 is the input.