The equation of the circle with the focus of the parabola y * 2 = - 8x as the center and tangent to the Quasilinear of the parabola is?

The equation of the circle with the focus of the parabola y * 2 = - 8x as the center and tangent to the Quasilinear of the parabola is?

y²=-8x=-2px
p=4
So quasilinear = x = P / 2 = 2
Focus f (- 2,0)
That is, the distance from the center of the circle to the tangent = | - 2-2 | = 4
That is radius = 4
So it's (x + 2) & sup2; + Y & sup2; = 16