Question

can someone help me with

Find the minimum distance from the parabola x+y^2=0 at (0,-3)

Answer 1

x + y^2 = 0 ----> x = - y^2
take a point lies that curve (x,y) = (-y^2, y)

now, find the distance formula between points (-y^2,y) and (0,-3) (let it is be K)