Which statement best shows how the vertical shift affects the parent function y=x

Question

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
.

Answer 1

The correct statement is:

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

This is because the vertical shift of +5 moves the graph of the function y=x up by 5 units, resulting in each corresponding y-value being 5 greater than that of the original function.