The solid line is \(y=x^2\) and the dashed line is \(y=\dfrac{x^2}{2}=\left(\dfrac{x}{\sqrt{2}}\right)^2\).
The graph of \(y=\left(\dfrac{x}{\sqrt{2}}\right)^2\) \(\sqrt{2}\) times as wide as the graph of \(y=x^2\).