Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=x^2$, shown as the blue curve in the figure.
Step 2. To obtain the graph of function $y(x)=\frac{1}{2}(x-1)^2+1$, shift the original horizontally 1 unit to the right, shrink the result by a factor of 2, and then shift the result up 1 unit (shown as the red curve in the figure).
