Consider the following figure.
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Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)