The parabola opens to the right so the equation is in the form x-h=a(y-k)² where a>0. The vertex is at (h,k)=(-7,-5). So x+7=a(y+5)². It passes through (2,-1), therefore 9=a(4)² and a=9/16. The equation can be written x+7=(9/16)(y+5)². Or we can expand: 16x+112=9y²+90y+225. 16x-9y²-90y-113=0.