Question

1. for the translation (x + 10, y + 6), write the new coordinates b(-5, -2) c(-5, 1) d(-3, -4)

Explanation:

Step1: Find new x - coordinate for point B

Add 10 to the x - coordinate of B. Given \(x=-5\), new \(x=-5 + 10=5\).

Step2: Find new y - coordinate for point B

Add 6 to the y - coordinate of B. Given \(y = - 2\), new \(y=-2 + 6 = 4\). So new coordinates of B are \((5,4)\).

Step3: Find new x - coordinate for point C

Add 10 to the x - coordinate of C. Given \(x=-5\), new \(x=-5 + 10 = 5\).

Step4: Find new y - coordinate for point C

Add 6 to the y - coordinate of C. Given \(y = 1\), new \(y=1 + 6=7\). So new coordinates of C are \((5,7)\).

Step5: Find new x - coordinate for point D

Add 10 to the x - coordinate of D. Given \(x=-3\), new \(x=-3 + 10 = 7\).

Step6: Find new y - coordinate for point D

Add 6 to the y - coordinate of D. Given \(y=-4\), new \(y=-4 + 6 = 2\). So new coordinates of D are \((7,2)\).

Answer:

B: \((5,4)\)
C: \((5,7)\)
D: \((7,2)\)