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Exercise #7 notes
This document discusses transformations of graphs including vertical and horizontal shifts. It provides examples of parent functions being shifted vertically by adding or subtracting a number, and horizontally by adding or subtracting inside or outside the function. Examples are given of shifting the graph of f(x)=sinx by 1 unit vertically and horizontally shifting and vertically shifting the graph of f(x)=x^2-3.
Exercise #7 notes
- 1. Exercise #7 Transformations Transformation: Ex. Vertical shift Ex. Horizontal shift We can sketch the graph once we know the “parent” function. Example a) f ( x) x2 OR f ( x) b) f ( x) x2 3 OR f ( x) 3 2 c) f ( x) x 3 OR f ( x 3) Example Explain the shifts of the graph f ( x) sin x 1 . Example Given f ( x) x 2 3 , graph: a) the parent function b) f ( x) 2 c) f ( x 1)