Given the parent function $$ f(x) = x^3 $$ , write the equat...

Question Analysis
This question assesses the student's ability to apply horizontal transformations, specifically horizontal compressions and shifts.

Key Concept Explanation
The general form for horizontal transformations is given by , where is the horizontal stretch/compression factor and is the horizontal shift.

Step-by-step Solution
1. Identify the parent function: .
2. Apply the horizontal compression by a factor of