1.3transformations

Vertical shifts example use the graph of fxx to obtain

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Unformatted text preview: fted c units vertically downward. Vertical Shifts Example Use the graph of f(x)=|x| to obtain g(x)=|x|-2 y 4 3 2 1 x −4 −3 −2 −1 1 −1 −2 −3 −4 2 3 4 5 Horizontal Shifts Horizontal Shifts Let f be a function and c a positive real number. • The graph of y = f ( x + c ) is the graph of y = f ( x ) shifted to the left c units. • The graph of y = f ( x − c ) is the graph of y = f ( x ) shifted to the right c units. Horizontal Shifts Example Use the graph of f(x)=x2 to obtain g(x)=(x+1)2 y 4 3 2 1 x −4 −3 −2 −1 1 −1 −2 −3 −4 2 3 4 5 Combining Horizontal and Vertical Shifts Example Use the graph of f(x)=x2 to obtain g(x)=(x+1)2+2 y 4 3 2 1 x −4 −3 −2 −1 1 −1 −2 −3 −4 2 3 4 5 Reflections of Graphs Refection about the x-Axis The graph of y = − f (...
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This note was uploaded on 09/24/2012 for the course MAT 170 taught by Professor Moffett during the Spring '06 term at ASU.

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