Question

A line segment with endpoints A(–4, 3, 2) and B(5, –6, –1) is translated first 2 units back, 3 units right, and 1 unit up. The image is then translated 7 units to the left. What are the coordinates of B´?


A: (3, 4, 0)


B: (3, –10, 0)


C: (5, –6, –1)


D: (–4, –10, –7)

Please help, I do not know how to figure this out! Thank you!

Answer 1

all you have to look at is B(5,-6,-1)

If you are using the standard position of x-axis towards and away from you, the y-axis left and right, and the z-axis up and down, then
B ---> 2 units back, 3 units right, and 1 unit up ---> B' (3, -3, 0) ,
then B'(3,-3,0) --> 7 units to the left ---> B'(3,-10,0)