>>723028Fuck wrote the whole explanation on a VPN and it got deleted, so here we go again.
0 = x - y^2 + 2y +4 can be written as
x = y^2 -2y - 4
if it were written as
y = x^2 -2x - 4 (swapped x and y)
you could get the vortex x value by using the reduced quadratic equation
x = -(-p/2) = -(-2/2) = 1
since we swapped x and y, this actually solved the vertex y value in your case
using
x = y^2 -2y - 4
you can get the x value for the vortex (since you have the y value)
x = 1^2 - 2*1 -4 = 1 -2 -4 = -5
Answer:
y = -(-p/2) = -(-2/2) = 1
x = 1^2 - 2*1 -4 = 1 -2 -4 = -5