Question

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 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 to the right of y=x
.

Answer 1

The correct statement is:

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

When you add a constant to a function, it results in a vertical shift upwards. In this case, adding 5 to the function \( y = x \) shifts it upward by 5 units.