Algebra-2

Question Analysis
This question tests the student's ability to apply the concept of horizontal compression to find the new coordinates of a point after the transformation. The key is to understand that a horizontal compression by a factor of 2 means each x-coordinate of the original function is divided by 2.

Key Concept Explanation
For a horizontal compression by a factor of , the transformed function is . The x-coordinates of the points on the parent function are divided by , while the y-coordinates remain unchanged.

Step-by-step Solution
1. Identify the given information: The point is on the graph of the parent function . The transformed function is