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The Basics of Transformation

Learn how adjusting the equation of f(x) alters its graph by moving it up/down, left/right, reflecting across axes, and widening/narrowing. Explore the impact of changes in the parent function f(x) visually.

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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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