Question

if this trapezoid is moved through the translation (x + 3, y - 2), what will the coordinates of c be? c = (?, )

Explanation:

Step1: Find the original coordinates of point C

From the graph, the coordinates of point C are \((-2,4)\).

Step2: Apply the translation rule

The translation rule is \((x + 3,y-2)\).
For the \(x\)-coordinate of \(C'\): \(x=-2+3 = 1\)
For the \(y\)-coordinate of \(C'\): \(y = 4-2=2\)

Answer:

\((1,2)\)