Question

determine the transformation:

Explanation:

Step1: Identify Coordinates

First, find coordinates of original (P, Q, R, S) and transformed (P', Q', R', S') points.

• P: (-6, 4), Q: (-4, 8), R: (-1, 7), S: (-2, 2)
• P': (4, 4), Q': (6, 8), R': (9, 7), S': (8, 2)

Step2: Analyze Horizontal Shift

Calculate the horizontal (x - coordinate) change. For P: \( -6 + 10 = 4 \), Q: \( -4 + 10 = 6 \), R: \( -1 + 10 = 9 \), S: \( -2 + 10 = 8 \). Vertical (y - coordinate) remains same. So, the transformation is a horizontal translation (shift) 10 units to the right.

Answer:

The transformation is a horizontal translation (shift) 10 units to the right (or \( (x,y) \to (x + 10,y) \)).