The rule of transformation 2 units right and one unit down will be as following:
( x , y ) ⇒⇒⇒ ( x+2 , y-1 )
The vertices of triangle XYZ are X(-1, -3), Y(-1, -1), and Z(-3, -1)
After transformation the coordinates of the image X′Y′Z′ can be calculated as following:
X' = ( -1+2 , -3-1) = (1 , -4)
Y' = ( -1+2 , -1-1) = (1 , -2)
Z' = ( -3+2 , -1-1 ) = ( -1 , -2 )
So, the correct answer is option B
B. X′(1, -4), Y′(1, -2), and Z′(-1, -2)
