Question

(a) the arrows below show that the coordinates on the left are mapped to the coordinates on the right. fill in the blanks to give the coordinates after the translation.
original coordinates → final coordinates
a(6, 2) → a( , )
b(1, 1) → b( , )
c(2, 4) → c( , )

Explanation:

Step1: Observe x - coordinate change

By looking at the graph, for point A, the x - coordinate of A(6, 2) changes from 6 to 2. The change in the x - coordinate is \(2 - 6=-4\).

Step2: Observe y - coordinate change

The y - coordinate of A(6, 2) changes from 2 to - 3. The change in the y - coordinate is \(-3 - 2=-5\).

Step3: Apply the translation to point B

For point B(1, 1), the new x - coordinate is \(1+( - 4)=-3\), and the new y - coordinate is \(1+( - 5)=-4\).

Step4: Apply the translation to point C

For point C(2, 4), the new x - coordinate is \(2+( - 4)=-2\), and the new y - coordinate is \(4+( - 5)=-1\).

Answer:

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