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Assuming the point A has coordinates (2,3) and the center of dilation is the origin.
Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)
Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A
′
(8,12)
In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)
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