Question

What is the transformation of B(-4, 8) when dilated by a scale factor of 2,

using the origin as the center of dilation?

Answer 1

(-8, 16)

Explanation:

A dilation is a transformation of a figure that produces an image that has the same shape, but a different size. The center of dilation is a fixed point in the plane about all the points that will be expanded or contracted.

If the dilation center is the origin, it is (0,0), so the point B is distant 4 horizontal units to the left at the origin, and 8 vertical units up. So, for a scale factor of 2, it will now be 8 horizontal units to the left at the origin, and 16 vertical units up, so it will be the point (-8, 16).