Math Problem Statement
Use the graph to sketch the graphs of the following equations.
Solution
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Math Problem Analysis
Mathematical Concepts
Function Transformations
Graph Reflections
Shifts and Scaling
Formulas
y = -f(-x): Horizontal and vertical reflection
y = f(2 - x): Horizontal reflection and shift
y = 1 - f(2 - x): Reflection, shift, and vertical shift by 1 unit
y = (1/2)f(2x): Horizontal compression and vertical scaling
Theorems
Reflection and Translation Theorems
Stretching and Compressing Theorems
Suitable Grade Level
Grades 10-12
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