Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Cubic Functions
Function Transformations
Reflections
Shifts

Formulas

f(x) = x^3
g(x) = (x - h)^3 + k
g(x) = -f(x - h) + k

Theorems

Transformations of cubic functions
Reflection across the x-axis
Horizontal and vertical shifts

Suitable Grade Level

Grades 9-12