Question

Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, and translated 5 units left and 3 units up.

How is this sequence of transformations written in coordinate notation to correctly map triangle LMN to its image, triangle L'M'N' ?

A. ( x , y )→(2 x + 3, 2 y - 5)

B. ( x , y )→(2 x - 5, 2 y + 3)

C. ( x , y )→(2 x + 5, 2 y + 3)

D. ( x , y )→(2 x + 3, 2 y + 5)

Answer 1

B. ( x , y )→(2 x - 5, 2 y + 3)

Explanation:

when x goes to the left it is negative and when y goes up it is positive, making B the only possible answer choice.