Answer
$m(d) = 4(d+3)^2-66$
Work Step by Step
The conversion of the function to the standard vertex form is self explanatory. All mathematical steps are shown below. $$
\begin{aligned}
m(d)&=4 d^2+24 d-30\\
& = 4\left(d^2+\frac{24}{4} d\right) -30 \\
& = 4\left[d^2+6d +\left( \frac{6}{2} \right)^2 \right]-30-4\cdot \left( \frac{6}{2} \right)^2 \\
& =4(d^2+6d+3^2)^2-30-4\cdot 3^2\\
&= 4(d+3)^2-66.
\end{aligned}
$$
