The vertices of a rectangle are q(−6,2),r(6,2),s(6,−4)q(−6,2),r(6,2 ),s(6,−4), and t(−6,−4)t(−6,−4). dilate the rectangle with respect to the origin using a scale factor of 3232. then translate it 5 units right and 1 unit down. what are the coordinates of the image?

The coordinates of the image are Q''(-4,2), R''(14,2), S''(14,-7) and T''(-4,-7).

Step-by-step explanation:

Given information: Q(−6,2),R(6,2),S(6,−4) and T(−6,−4).

If a figure dilated by factor k with respect to the origin , then

The figure dilated with respect to the origin using a scale factor of 3/2.

The vertices of rectangle after dilation are

Then translate it 5 units right and 1 unit down.

Therefore the coordinates of the image are Q''(-4,2), R''(14,2), S''(14,-7) and T''(-4,-7).