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 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 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 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 lower than y=x.

1 answer

The statement that best shows 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 adding 5 to the function shifts the graph vertically upward by 5 units.