Geometry

Question Analysis

This question focuses on the concept of dilation. The main task is to apply a scale factor of 3, with the origin as the center of dilation, to find the new coordinates of Point M.

Key Concept Explanation

For dilation centered at the origin, if a point has coordinates  and the scale factor is , the coordinates of the dilated point  are given by the formula .

Step - by - Step Solution

1. First, determine the coordinates of Point M. From the graph, Point M has coordinates .

2. Apply the dilation formula with .

For the  - coordinate: .

For the  - coordinate:

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