Question

graph the function $f(x) = x$ after it has been vertically shifted 3 units. question help: message instructor

Explanation:

Step1: Define shifted function

A vertical shift up 3 units transforms $f(x)=x$ to $g(x)=x+3$.

Step2: Identify key points

For $x=0$, $g(0)=0+3=3$; for $x=2$, $g(2)=2+3=5$; for $x=-2$, $g(-2)=-2+3=1$.

Step3: Plot and connect points

Plot $(0,3)$, $(2,5)$, $(-2,1)$, then draw a straight line through them (matches the line drawing tool provided).

Answer:

The graph is the straight line of $y = x + 3$, passing through points like $(-2,1)$, $(0,3)$, and $(2,5)$, drawn using the line tool on the grid.