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

Question

y= x+5 will have each points 5 steps higher than y=x
Will have each point 5 steps to the right
Will have each point 5 steps lower
Will have each point 5 steps to the left

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.