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The Basics of Transformation

The Basics of Transformation. How to Look at an Equation and Describe the Changes Made to its Parent Function. Consider the Parent Function f(x). The following slides will show you how changing the equation of f(x) also changes its graph. Moves the graph of f(x) up k units. f(x) + k.

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The Basics of Transformation

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  1. The Basics of Transformation How to Look at an Equation and Describe the Changes Made to its Parent Function

  2. Consider the Parent Function f(x). The following slides will show you how changing the equation of f(x) also changes its graph.

  3. Moves the graph of f(x) up k units f(x) + k

  4. Moves the graph of f(x) down k units f(x) - k

  5. Moves the graph of f(x) left k units f(x + k)

  6. Moves the graph of f(x) right k units f(x - k)

  7. Reflects the graph of f(x) across the x-axis -f(x)

  8. Reflects the graph of f(x) across the y-axis f(-x)

  9. Makes the graph of f(x) wider k*f(x), where 0 < lkl < 1

  10. Makes the graph of f(x) more narrow k*f(x), where lkl > 1

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