Answer
See graph.
intercept(s) $(0,3)$.
domain $(-\infty,\infty)$, range $[2,\infty)$.
Work Step by Step
Step 1. To obtain the graph of $y=(x-1)^2+2$ from $y=x^2$, shift the curve 1 unit to the right, then shift 2 units up. See graph.
Step 2. We can identify the intercept(s) $(0,3)$.
Step 3. We can find the domain $(-\infty,\infty)$, range $[2,\infty)$.
