Question

A point, beginning at (0,0), undergoes the following composition of translation. Write an ordered pair for the points final position. T<5,-7> and then T<-6,2>

Answer 1

(-1,-5)

Explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)