Question 999237
Make your choice; for either vertical symmetry axis or horizontal symmetry axis.


I am choosing vertical axis of symmetry.  Think about the two given points, and you understand that coefficient {{{a<0}}}, which goes on the leading term.


Standard Form format, {{{y=a(x-h)^2+k}}}, and (h,k) and another point on the graph are given.


{{{a=(y-k)/(x-h)^2}}}
{{{a=(y-(-8))/(x-(-4))^2}}}, using vertex given
{{{a=(-371+8)/(7+4)^2}}}, when the other included point is used, and partial simplification
{{{a=-363/(121)}}}
{{{highlight_green(a=-3)}}}


One possible equation from that is  {{{highlight(y=-3(x+4)^2-8)}}}.