3.4 Graphs and Transformations

3.4 Graphs and Transformations - Graphs and Graphs and...

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Unformatted text preview: Graphs and Graphs and Transformations Section 3.4 Parent Functions Parent Functions A parent function is a function with a certain shape that has the simplest algebraic rule for that shape. Constant function Identity function Absolute value function Greatest integer Greatest integer function Cubic function Quadratic function Reciprocal function Square root Square root function Cube root function Vertical Shifts Vertical Shifts Let c be a positive number The graph of g(x) = f(x) + c is the graph of f shifted upward c units The graph of g(x) = f(x) – c is the graph of f shifted downward c units. Horizontal Shifts Horizontal Shifts Let c be a positive number The graph of g(x) = f(x + c) is the graph of f shifted c units to the left. The graph of g(x) = f(x – c) is the graph of f shifted c units to the right. Reflections Reflections The graph of g(x) = ­f(x) is the graph of f reflected across the x­axis. The graph of g(x) = f(­x) is the graph of f reflected across the y­axis. Joke Time Joke Time What did the banana do when the monkey chased it? The banana split! What does Batman’s Mom call when she wants him to come in for dinner? DINNER dinner DINNER dinner Dinner dinner BATMAN! ...
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This note was uploaded on 12/01/2011 for the course MATH 111 taught by Professor Stuff during the Winter '11 term at BYU.

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