Since the parabola has a horizontal axis of symmetry, the equation is of the following form:
[tex](y-k)^2=4p(x-h)[/tex]
in this case, we have the following information:
[tex]\begin{gathered} (h,k)=(-7,12) \\ p=-6 \end{gathered}[/tex]
using these values on the equation, we get:
[tex](y-12)^2=4(-6)(x-(-7))[/tex]
therefore, the equation of the parabola is:
[tex](y-12)^2=-24(x+7)[/tex]
