Which statement best shows how the vertical shift affects the parent function y=x when shifted to y=x+5 ?(1 point) Responses y=x+5 will have each point 5 steps to the left of y=x . y equals x plus 5 will have each point 5 steps to the left 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 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 higher than y=x . y equals x plus 5 will have each point 5 steps higher than y equals x .

1 answer

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" means that every output value of the function \( y = x \) is increased by 5, resulting in a vertical shift upward.