Answer to problem 1 is (-4, 4)
Answer to problem 3 is (2, 2)
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Explanation:
When the center of a dilation is the origin (0,0), we simply multiply the scale factor by each coordinate.
For problem 1, point U is located at (-2,2). Multiply each coordinate by the scale factor 2 (since it says "dilation of 2") to get (-4,4)
For problem 3, we multiply 0.5 by each coordinate of the point U(4, 4) getting to U ' (2,2)
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The dilation rule used here is [tex](x,y) \to (kx, ky)[/tex] where k is the scale factor or dilation factor. This rule only applies if the center of dilation is (0,0). For other centers, you'll need to apply a translation first, dilate, then translate back again.
If k > 1, then the point moves further away from the origin.
If 0 < k < 1, then the point moves closer to the origin.
