Question

Which statement best shows how the vertical shift affects the parent function y=x when shifted to y=x+5

Responses

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

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

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

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

Answer 1

The statement that best shows how the vertical shift affects the parent function \( y = x \) when 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 upward by 5 units.