$\text{The equation of the parabola having focus at }\left(6,0\right) and directrix at x=-6$

$\text{Given focus }\left(6,0\right), directrix\mathit{ }x\mathit{=}\mathit{-}\mathit{6}$

$Since the foucs lies on \mathrm{x}- axis, it is the axis of parabola$

$The directrix lies in the left side of the\mathit{ }y\mathit{ }\mathit{-} axis$

$Hence, the prabola is in the standard form as {\mathrm{y}}^2=4ax$

$$\begin{gathered} And distance between focus and directrix is 2a, \\ Here 2a= 12 \\ Hence \mathrm{a}=6 \end{gathered}$$

$Therefore, the equatioon of the parabpla is {\mathrm{y}}^2=24\mathrm{x}$