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

Answer 1

The correct 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 a vertical shift upwards by 5 units means that every point on the graph of the parent function \( y = x \) moves up by 5 units.