Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Graph Transformations
Square Root Functions
Formulas
y = √(x + c)
y = -√(x + c)
y = √(x) + d
y = -√(x) + d
Theorems
Horizontal shifts (y = f(x + c) shifts left by c units)
Reflections across the x-axis (y = -f(x) reflects the graph across the x-axis)
Vertical shifts (y = f(x) + d shifts up by d units)
Suitable Grade Level
Grades 9-12
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