Question

the figure below is dilated with the center of dilation at the origin and a scale factor of 1/2. what are the coordinates of the image of point b after this transformation?

Explanation:

Step1: Find original coordinates of B

Assume B is (6, -8) from graph.

Step2: Apply dilation with scale factor 1/2

$(6\times\frac{1}{2}, -8\times\frac{1}{2})=(3, -4)$

Answer:

(3, -4)