Question

What type of transformation is a result of applying the rule (x, y) → (2(x, y))?

-Reflection
-Dilation
-Compression
-Rotation

Answer 1

Dilation

Explanation:

This is a dilation because the new coordinates of the original point are further away.

So, if we dilate the point (2, 4) by a factor of 2 then the dilated point becomes 2(2,4) which is (4, 8)

This particular question is referring to exactly this transformation

(x, y) -> 2(x, y) means the resulting point is twice the values of the original point

This is not restricted to just points but to shapes also. The transformed shape coordinates become twice the values of the original shapes

And of course you can dilate from any point of reference not just (0,0)

See attached pix

Hope that helps and hope you feel better