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Transformations

Notes Rev.7. This lesson is not actually a review topic but we want to address transformations early in the course on a group of functions so you see the connection. However, we will look at each function in more depth in upcoming units!. Transformations. of Parent Functions

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Transformations

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  1. Notes Rev.7 This lesson is not actually a review topic but we want to address transformations early in the course on a group of functions so you see the connection. However, we will look at each function in more depth in upcoming units! Transformations of Parent Functions and Graph over a specific domain

  2. GRAPHING FUNCTIONS and TRANSFORMATIONS • For any function there are 4 basic ways to transform the shape of its graph. The original function f(x) is often called the parent function and has specific properties and key points to assist in graphing. • Vertical Translation (Shift): Graph is moved _______________________________ • Horizontal Translation (Shift): Graph is moved _____________________________ • Vertical Dilations, Contractions, and Reflections: In the vertical direction, _________________________________________________ • Horizontal Dilations, Contractions, and Reflections:In the horizontal direction, _______________________________________________

  3. GENERAL FORM FOR TRANSFORMATIONS of FUNCTION f(x): a • f(x – h) + k

  4. Graph each transformation of the parent function • describe the change from the original. f(x+1) + 3 f(2x) f(x) -2·f(x)

  5. The parent functions can be transformed (shifted) just as the last graph was!

  6. Parent Function For each of the given graphs, write the EQUATION that would create that graph. • Graphs are approximately drawn to scale • There are NO Vertical Shrinks or Stretches from the parent function. • Focus on the important point of each function based on its parent function.

  7. Graph the following using horizontal and vertical shifts of Parent Functions: (we’ll look more in depth at vertical/horizontal stretch/compressions graphs within each upcoming unit.

  8. Graph the following using horizontal and vertical shifts of Parent Functions: (we’ll look more in depth at vertical/horizontal stretch/compressions graphs within each upcoming unit.

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