132 L13 Graphing Techniques: Transformations; Quadratic Functions and Models Vertical and Horizontal Translations: (0)c>To graph: shift ( )f xc units: ( )f xc+( )f xc−()f xc+()f xc−Example: Graph the function 31yx=−−. 133 Vertical Compressions and Stretches: Example: Above is the graph of 13yx=. In the same plane, graph 132yx=and 1312yx=. The graph of ( )ya f x=(0a≠) is obtained from the graph of ( )yf x=by multiplying by athe y-coordinate of each point that is on the graph of f. Compared to the graph of ( )yf x=, the graph of ( )ya f x=is: stretched vertically if 1a>; compressed vertically if 01a<<.
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