Question

if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd, what are the coordinates of d? (-5, -2) (1, -12) (4, -15) (-9, -6)

Explanation:

Step1: Identify original coordinates of D

From the graph, the coordinates of point D are (-5, -2).

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x + 6,y - 10)\). For point D with \(x=-5\) and \(y = - 2\), we calculate the new \(x\)-coordinate as \(x'=-5 + 6=1\) and the new \(y\)-coordinate as \(y'=-2-10=-12\).

Answer:

(1, -12)