Find the local quadratic approximation of $f$ at $x = x_{0}$, and use that approximation to find the local linear approximation of $f$ at $x_0$. Use a graphing utility to graph $f$ and the two approximations on the same screen.

$$f(x)=\sqrt{4x},\; x_0={\frac{1}{4}}$$

Enter Approximation Formulas below.

Local Quadratic Approx $=$

Local Linear Approx $=$