Question

Point A(4,2) is translated 6 units left and 3 units up and then dilated by a factor of 3 using the origin as the center of dilation. What is the resultant point?

Answer 1

D. A"(-6,15)

Explanation:

The given point is A(4,2)

When point A(4,2) is translated 6 units left and 3 units up, it becomes:

`(4,2)\to(4-6,2+3)=(-2,5)`

When the resulting point is translated by a factor of 3 using the origin as the center of dilation, then

`(-2,5)\to(3*-2,3*5)=(-6,15)`

Therefore the last choice is correct