Answer
First, make a vertical shrink of $y=x^2$ to obtain $y=\frac{1}{2}x^2$. Then, move the graph of $y=\frac{1}{2}x^2$ one unit down to obtain $k(x)=\frac{1}{2}x^2-1$
Work Step by Step
Red: $y=x^2$
Green: $y=\frac{1}{2}x^2$
Blue: $k(x)=\frac{1}{2}x^2-1$