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

Question Analysis
This question tests the student's understanding of function transformations, specifically vertical stretches, reflections over the x-axis, and vertical shifts.

Key Concept Explanation
The general form of a transformed function is . Here, the vertical stretch by a factor of 4, reflection over the x-axis, and vertical shift up by 7 units are applied to the parent function .

Step-by-step Solution
1. Start with the parent function:

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Algebra-2

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