Solution:To find new coordinates after. scaling you multiple each coordinate by the scaling factor. For the x-axis scaling of 2 the new x - coordinates will be twice the original ones, And for y-axis scaling of 3, the new y-coordinates will be 3 times the original ones.
Original rectangle vertices:
(0, 0), (0, 2), (3, 0), (3, 2)
After scaling by 2 on the x- axis
(02, 0), (02, 2), (32, 0), (32, 2)
= (0, 0) (0, 2) (6, 0) (6, 2)
After sealing by 3 on the y - axis:
(0, 03), (0, 23), (3, 03), (3, 23)
= (0, 0), (0, 6), (3, 0), (3, 6)
So, the new coordinates of the rectangle are:
(0, 0), (6, 0), (0, 6), (6, 6)