Question

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

Explanation:

Step1: Find the original coordinates of point B

From the graph, the coordinates of point B are \((-5,4)\).

Step2: Apply the translation rule

The translation rule is \((x + 1,y-3)\).
For the \(x\)-coordinate of \(B'\): \(x=-5+1=-4\).
For the \(y\)-coordinate of \(B'\): \(y = 4-3=1\).

Answer:

\((-4,1)\)