Question

4 graph parallelogram wxyz with w(2, -8), x(-5, -1), y(-1, 2), z(6, 0), and its image after a translation of (x, y)→(x - 5, y + 2). what are the coordinates of w? a) (-3, -5) han solo b) (-3, -1) luke skywalker c) (-3, 1) princess leia d) (-5, 1) darth vader e) (3, -5) obi - wan kenobi

Explanation:

Step1: Identify the original coordinates

The original coordinates of W are (2, - 8).

Step2: Apply the translation rule for x - coordinate

The translation rule for x is \(x
ightarrow x - 5\). For the x - coordinate of W, \(x = 2\), so \(2-5=-3\).

Step3: Apply the translation rule for y - coordinate

The translation rule for y is \(y
ightarrow y + 2\). For the y - coordinate of W, \(y=-8\), so \(-8 + 2=-6+2 = - 6+2=-1+2 = 1\).
So the new coordinates of W' are (-3, 1).

Answer:

C. (-3, 1)