how are the functions y=× and y=×-3 related? How are their graphs related?

1 answer

The functions y=x and y=x-3 are related because y=x-3 is formed by shifting the graph of y=x downward by 3 units.

The graph of y=x is a straight line that passes through the origin (0,0) in a 45-degree angle. The graph of y=x-3 is also a straight line, but it is shifted downward by 3 units.

In terms of graph transformations, the graph of y=x is the parent function and the graph of y=x-3 can be obtained by translating the parent function downward.