Question

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 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
=

Answer 1

The statement that best 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 up from y = x."**

However, since this option is not provided, if we were to simply analyze the responses:

- A vertical shift like \( y = x + 5 \) moves the graph **upwards** by 5 units.
- Therefore, all points on the graph of the parent function \( y = x \) move up vertically by 5 units.

Since the provided options do not correctly state the effect of the vertical shift, please clarify if there are other options or if you would like to adjust the question!