Question

the figure below is dilated with the center of dilation at the origin and a scale factor of 1/2 and then translated right 2 units. what are the coordinates of the image of point b after these transformations?

Explanation:

Step1: Identify original coordinates of B

Assume B is (-4, -2) from the figure.

Step2: Apply dilation (scale factor 1/2)

New coordinates: $(\frac{1}{2}(-4), \frac{1}{2}(-2)) = (-2, -1)$

Step3: Translate right 2 units (add 2 to x)

Final coordinates: $(-2 + 2, -1) = (0, -1)$

Answer:

(0, -1)