Question 1203843
{{{y-k=a(x-h)^2}}}  if vertical symmetry axis

{{{x-h=a(y-k)^2}}}  if horizontal symmetry axis; vertex at (h,k).


Given vertex (0,-4)
{{{x=a(y+4)^2}}}


Given included point on graph (-1,5)
{{{a=x/(y+4)^2}}}

{{{a=-1/(5+4)^2}}}

{{{a=-1/81}}}



Equation for the parabola
{{{highlight(x=-(1/81)(y+4)^2)}}}





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(Not carefully rechecked)