Geometry

Question Analysis

The main focus is to apply a dilation with a scale factor of 4, centered at the origin, to Point E and find its new coordinates.

Key Concept Explanation

For a dilation centered at the origin, if a point  is dilated by a scale factor , the new coordinates  are calculated as . When k > 1, it results in an enlargement.

Step - by - Step Solution

1. Determine the coordinates of Point E. Since Point E is .

2. Apply the dilation formula with .

For the  - coordinate: .

For the