Which statement best shows how the vertical shift affects the parent function y=x when shifted to y=x+5?(1 point)

Question

Responses

y=x+5 will have each point 5 steps to the right of y=x.
y equals x plus 5  will have each point 5 steps to the right of y equals x .

y=x+5 will have each point 5 steps lower than y=x.
y equals x plus 5  will have each point 5 steps lower than y equals x .

y=x+5 will have each point 5 steps higher than y=x.
y equals x plus 5  will have each point 5 steps higher than y equals x .

y=x+5 will have each point 5 steps to the left of y=x.

Answer 1

The statement that best describes how the vertical shift affects the parent function $y=x$ when shifted to $y=x+5$ is:

y=x+5 will have each point 5 steps higher than y=x.

This is because the $+5$ indicates a vertical upward shift of the function by 5 units.