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

Answer:

D. A"(-6,15)

Step-by-step 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