Given the function f(x)=x, how does the addition or subtraction of a constant to the output affect the graph? f(x)=x-2

Question

Please explain how to answer it and explain why.

Answer 1

The graph of the function f(x)=x is a line that goes through the origin and every x value is equal the the y value. The graph of f(x)=x-2 will have the same slope (1) but it will be lower and intercept the y axis at -2.