Question

figure abcd and its image are shown in the coordinate plane. enter the coordinates of the image after abcd is translated 6 units to the right.

abcd	abcd
a(-4,3)	?
b(-2,3)	?
c(-2,-1)	?
d(-4,-1)	?

Explanation:

Step1: Recall translation rule

For a translation 6 units to the right, add 6 to the x - coordinate of each point while keeping the y - coordinate the same.

Step2: Find new coordinates of A

For point A(-4, 3), new x - coordinate is - 4+6 = 2, y - coordinate remains 3. So A' is (2, 3).

Step3: Find new coordinates of B

For point B(-2, 3), new x - coordinate is - 2+6 = 4, y - coordinate remains 3. So B' is (4, 3).

Step4: Find new coordinates of C

For point C(-2, -1), new x - coordinate is - 2+6 = 4, y - coordinate remains - 1. So C' is (4, -1).

Step5: Find new coordinates of D

For point D(-4, -1), new x - coordinate is - 4+6 = 2, y - coordinate remains - 1. So D' is (2, -1).

Answer:

A' (2, 3)
B' (4, 3)
C' (4, -1)
D' (2, -1)