Final answer:
To find the coordinates of the vertices of the original figure and the dilation, plot the points on a coordinate plane and apply the scale factor k. If k is greater than 1, it is an enlargement. If k is less than 1, it is a reduction.
Step-by-step explanation:
To find the coordinates of the vertices of the original figure A(-2,1), B(0,2), C(2,-2), we can plot these points on a coordinate plane. The coordinates of the original figure are the same as given.
To find the coordinates of the dilated figure, we need to multiply the x-coordinate and y-coordinate of each vertex by the scale factor k. If k is greater than 1, it is an enlargement. If k is less than 1, it is a reduction. In this case, the scale factor k is 3, which means it is an enlargement.
The coordinates of the dilated vertices are:
A'(-6,3), B'(0,6), C'(6,-6).