Question

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

Explanation:

Step1: Determine the original coordinates of point A

From the graph, the coordinates of point A are \((-6,2)\).

Step2: Apply the translation rule \((x + 1,y-3)\)

For the \(x\) - coordinate: \(x=-6\), after translation \(x'=-6 + 1=-5\).
For the \(y\) - coordinate: \(y = 2\), after translation \(y'=2-3=-1\).

Answer:

\((-5,-1)\)