Math Problem Statement
what would the function x^2 be if it is flipped upside down, shifted to the left two units and shifted up two units
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Transformation
Quadratic Functions
Formulas
f(x) = x^2 (Standard quadratic function)
Vertical reflection: f(x) = -x^2
Horizontal shift: f(x + h)
Vertical shift: f(x) + k
Theorems
Transformations of functions
Vertex form of a quadratic function
Suitable Grade Level
Grades 9-11
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