Math Problem Statement
What kind of transformation converts the graph of f ( x )
– 10 |x + 9 | + 5 into the graph of g ( x )
– 10 |x + 8 | + 1 ?
Solution
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Math Problem Analysis
Mathematical Concepts
Absolute Value Functions
Graph Transformations
Translations
Formulas
f(x) = a|x - h| + k (general form of an absolute value function)
Horizontal translation: f(x + c) shifts the graph left if c > 0 and right if c < 0
Vertical translation: f(x) + d shifts the graph up if d > 0 and down if d < 0
Theorems
Graph translation principles for absolute value functions
Suitable Grade Level
Grades 9-12
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