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 curve of function $h(x)=2(x-2)^2-1$, first shift the original curve horizontally 2 units to the right, then stretch the result vertically by a factor of 2, and finally shift the result down 1 unit, shown as the red curve.