Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Absolute Value Functions
Vertex Form
Domain and Range
Formulas
y = a |x - h| + k (Vertex Form of Absolute Value Function)
Domain of an absolute value function
Range of a downward-opening absolute value function
Theorems
The vertex form of an absolute value function determines the vertex
The domain of absolute value functions is always all real numbers
The range depends on whether the function opens upwards or downwards
Suitable Grade Level
Grades 9-11