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