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 left, then stretch the result vertically by a factor of 2, reflect the result around the x-axis, and finally shift the result up 1 unit, shown as the red curve.