Geometry

Question Analysis

This question involves dilation, focusing on applying a scale factor of 4 with the origin as the center to find the new coordinates of Point Z.

Key Concept Explanation

For dilation centered at the origin, if the scale factor is  and the point has coordinates , the image of the point after dilation has coordinates .

Step - by - Step Solution

1. First, find the coordinates of Point Z. From the graph, Point Z has coordinates .

2. Since the scale factor , use the dilation formula .

For the  - coordinate: .

For the  - coordinate: