Question

if this trapezoid is moved through the translation (x + 1, y - 3), what will the coordinates of d be? d = (?, )

Explanation:

Step1: Find the original coordinates of point D

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

Step2: Apply the translation rule

The translation rule is \((x + 1,y-3)\).
For the \(x\) - coordinate of \(D'\): \(x=2\), so \(x'=2 + 1=3\).
For the \(y\) - coordinate of \(D'\): \(y = 2\), so \(y'=2-3=-1\).

Answer:

\((3,-1)\)