If the distance of a variable point $P(x, y)$ from a point $A(2, -2)$ is twice the distance of $P$ from the $Y$-axis,then the equation of the locus of $P$ is:
- A$3x^2 - y^2 + 4x - 4y - 8 = 0$
- B$x^2 - 4x + 4y + 8 = 0$
- C$3x^2 - y^2 + 4x - 4y + 8 = 0$
- D$y^2 - 4x + 4y + 8 = 0$
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