Geometry

Question Analysis

The main focus is to understand how to apply a negative scale factor in dilation with the center at the origin to find the coordinates of the dilated point.

Key Concept Explanation

Dilation with a scale factor centered at the origin: The coordinates of a point are transformed to . When is negative,  in addition to changing the size by the magnitude of , it also reflects the point across the origin.

Step - by - Step Solution

1. Given the point and scale factor .

2. Use the formula for dilation centered at the origin .

Substitute , , and into the formula.

For the - coordinate of

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