Question

Choose which of the following demonstrate a dilation centered at the origin: (x,y)→(1.5x,1.5y) choose a graph.

Answer 1

Answer: Choice B, see diagram below

The dilation rule (x,y) --> (1.5x, 1.5y) says to multiply each coordinate by the scale factor 1.5

Point A in blue is located at (5,5). After dilation, it will move to A ' (7.5, 7.5)

Point B is located at (0,2) and it moves to B ' (0,3)

Point C is located at (1,-1) and it moves to C ' (1.5, -1.5)

This all matches with what is shown below, so the answer is choice B