Question

translate the points below given the directions down 7, left 5 a(2, 6) b(9, -1) c(12, 7)

Explanation:

Step1: Recall translation rules

Moving down affects the y - coordinate (subtract) and moving left affects the x - coordinate (subtract).

Step2: Calculate new coordinates for point A

For point A(2,6), moving down 7 (subtract 7 from y - coordinate) and left 5 (subtract 5 from x - coordinate). New x - coordinate is \(2 - 5=-3\), new y - coordinate is \(6 - 7=-1\). So \(A'(-3,-1)\).

Step3: Calculate new coordinates for point B

For point B(9, - 1), new x - coordinate is \(9 - 5 = 4\), new y - coordinate is \(-1-7=-8\). So \(B'(4,-8)\).

Step4: Calculate new coordinates for point C

For point C(12,7), new x - coordinate is \(12 - 5 = 7\), new y - coordinate is \(7 - 7 = 0\). So \(C'(7,0)\).

Answer:

\(A'(-3,-1)\), \(B'(4,-8)\), \(C'(7,0)\)