Question

ABC has coordinates of A (-8, -8), B(4, -2) and C (2, 2). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5
1. A(-12, -8), B(6, -2), C(3, 2)
2. A(-12,-12), B(6, -3), C(3, 3)
3. A(-8, -8), B(4, -2) C(2, 2)
4. A(-5.33, -5.33), B 2.67, -1.33), C(1.33, 1.33)

Answer 1

your dilation scale factor is >1 so the resulting shape will be larger than the original one, also it is located at the origin so all points get pushed away from the center.

In this case you get the new points by multiplying all coordinates with the scale factor:
A(-8,-8)*1.5=(-12,-12)
B(4,-2)*1.5=(6,-3)
C(2,2)*1.5=(3,3)

so 2. A(-12,-12), B(6, -3), C(3, 3) is the solution