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Transforming a Quadratic Function: Equation Derivation

This task involves understanding and applying transformations to a quadratic function. Given a red function f(x) = 0.2x², the goal is to determine the equation of the blue function g(x) after applying three transformations: shifting the function 2 units up, shifting it 5 units to the right, and stretching it by a factor of 3. Analyze each transformation step to derive the correct equation for g(x) from f(x) and choose the appropriate option from the provided answers.

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Transforming a Quadratic Function: Equation Derivation

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Presentation Transcript

  1. BM #5 Review Transformations of Functions

  2. Describe the Transformations

  3. Write the Equation • A quadratic function shifted 2 up, shifted 5 right, and stretched by 3.

  4. Write the Equation

  5. Given the red function is f(x) = 2x2, what is the equation of the blue function?A) g(x) = 6x2 B) g(x) = -2x2 C) g(x) = x2

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