Question

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

Explanation:

Step1: Determine the original coordinates of point C

From the graph, the coordinates of point C are \((-1,4)\).

Step2: Apply the translation rule \((x + 3,y-2)\)

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

$$x'=-1+3=2$$

For the \(y\)-coordinate: \(y = 4\), after translation \(y'=4-2\).

$$y'=4 - 2=2$$

Answer:

\((2,2)\)