Question

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (2, 2) .

Answer 1

Ok this is the correct answer

Answer 2

(1, 3), (0, 6) and (-2, 5)

Explanation:

First we will translate the image 2 left and 2 down to account for moving the center of dilation (2, 2) away from the origin:

(0, 4)→(-2, 2)

(-2, 10)→(-4, 8)

(-6, 8)→(-8, 6)

Next we apply the scale factor of 1/2:

(-2, 2)→(-1, 1)

(-4, 8)→(-2, 4)

(-8, 6)→(-4, 3)

Lastly we translate the figure back 2 right and 2 up:

(-1, 1)→(1, 3)

(-2, 4)→(0, 6)

(-4, 3)→(-2, 5)