Answer
True.
The $x$ of the vertex of $f(x)$ and $g(x)$ are the same.
Work Step by Step
If $f(x)$ and $g(x)$ have the same axis of symmetry, the $x$ of their vertex is the same.
- $f(x)$:
$-\frac{b}{2a}=-\frac{-10}{2(-4)}=-\frac{5}{4}$
- $g(x)$:
$-\frac{b}{2a}=-\frac{30}{2(12)}=-\frac{5}{4}$