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The graph of g(x)=5x is a transformation of the graph of f(x)=x what is the transformation

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Answer:

Vertical Stretch of 5.

General Formulas and Concepts:

Alg II

Transformations

Parent Graph Transformations: y = ax + b

  • a = vertical shrink/stretch
  • b = vertical movement up/down

Explanation:

Step 1: Define equation

Parent Graph: f(x) = x

Transformed Graph: g(x) = 5x

Step 2: Break

We see that we are increasing the slope. Therefore, it will have a steeper slope. That means we are manipulating the a variable and thus have a vertical stretch of a factor of 5.

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