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
.

1 answer

The correct statement that describes how the vertical shift affects the parent function \( y = x \) when it is 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 shift upwards by 5 units.