Consider again the function $$f(x)=x^2.$$ The Figure

shows the graphs of $f$ and also the graphs of $$g_1(x) = 2x^2 \quad\hbox{and}\quad g_2(x) = \frac{x^2}{2},$$ which are obtained by scaling the graph of $f$ vertically by a factor $2$ or $1/2$, respectively. The graph in this Figure is obtained from that of $f$ by a combination of scaling and shifting:

It is the graph of the function
$g(x) =$
Hint: Figure out the scale by going $1$ unit to the right from the vertex, and see what happens to the function value. Consider the location of the vertex.