Question

Which statement best shows how the vertical shift affects the parent function: y = x, when shifted to: y = x + 5.
A. y = x + 5, will have each point 5 steps to the left of: y = x
B. y = x + 5, will have each point 5 steps higher than: y = x
C. y = x + 5, will have each point 5 steps lower than: y = x
D. y = x + 5, will have each point 5 steps to the right of: y = x

Answer 1

The correct statement is:

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

This is because the "+5" represents a vertical shift upward by 5 units for each point on the parent function \( y = x \).