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

𝑦
=
𝑥
when shifted to y=x+5
𝑦
=
𝑥
+
5
?(1 point)
Responses

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

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

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

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

1 answer

The correct statement that best shows 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 adding 5 to the function \( y = x \) raises the entire graph of the function vertically by 5 units.