Geometry

Question Analysis

The main focus of this question is to find the coordinates of the point  after dilation. We are given a point , a scale factor , and a center of dilation , and we need to apply the dilation formula correctly.

Key Concept Explanation

The formula for dilating a point  with center  and scale factor  is . This formula calculates the new coordinates based on the relative position of the point to the center of dilation and the scale factor.

Step - by - Step Solution

1. Identify the values: Here, , , , , and .

2. Calculate the  - coordinate of :

Substitute into the formula .

First, find : .

Then, calculate :

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