Question

Which statement best shows how the vertical shift affects the parent function y=x
when shifted to y=x+5
?(1 point)

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

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

Answer 1

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

Reason: adding 5 to the output shifts the graph up 5 units (e.g., (0,0) on y=x becomes (0,5)).