Question

How is the function shown below related to y=​x? y=x+3

Answer 1

The function y=x+3 is a linear transformation of the function y=x. It is related to the function y=x by shifting the graph of y=x three units upward along the y-axis. This can be observed by comparing the y-values of the two functions for any given x-value. For example, when x=0, y=x+3 equals 3, while y=x equals 0. This means that the function y=x+3 has the same slope as y=x, but is shifted three units higher.