Question

""How is the function shown below related to y = x? Graph the function by translating the parent function. The function is y = x - 4. How are the functions related?

A. Each output of y = x - 4 is four times the corresponding output for y = x.

B. Each output of y = x - 4 is one-fourth the corresponding output for y = x.

C. Each output of y = x - 4 is four less than the corresponding output for y = x.

D. Each output of y = x - 4 is four more than the corresponding output for y = x.

Choose the option that correctly describes the relationship between y = x and y = x - 4.""

Answer 1

The function y = x - 4 is related to the parent function y = x through translation. Each output of y = x - 4 is four units less than the corresponding output for y = x.

Step-by-step explanation:

The function y = x - 4 is a linear function that is related to the parent function y = x through translation. To graph the function y = x - 4, we can shift the graph of y = x down by 4 units. Each output of y = x - 4 is four units less than the corresponding output for y = x. Therefore, the correct answer is option C - Each output of y = x - 4 is four less than the corresponding output for y = x.