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PP Section 3.4

# PP Section 3.4 - Techniques in Graphing f x = x 2 to obtain...

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Techniques in Graphing

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Example: Use the graph of to obtain the graph of 2 ) ( x x f = 2 ) ( 2 + = x x g First, find points on the graph of f and g . x f ( x ) g ( x ) -2 4 6 -1 1 3 0 0 2 1 1 3 2 4 6
4 2 0 2 4 2 4 6 8 10 (1, 1) (2, 4) (0, 2) (1, 3) (2, 6) f x x ( ) = 2 g x x ( ) = + 2 2 If a real number c is added to the right side of a function y = f ( x ), the graph of the new function y = f ( x ) + c is the graph of f shifted vertically up (for c > 0).

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Example: Use the graph of to obtain the graph of 2 ) ( x x f = 3 ) ( 2 - = x x g First, find points on the graph of f and g . x f ( x ) g ( x ) -2 4 1 -1 1 -2 0 0 -3 1 1 -2 2 4 1
5 3 1 1 3 5 4 1 6 (1, 1) (2, 4) (0, -3) (1, -2) (2, 1) f x x ( ) = 2 3 ) ( 2 - = x x g If a real number c is subtracted from the right side of a function y = f ( x ), the graph of the new function y = f ( x ) - c is the graph of f shifted vertically down (for c > 0).

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to obtain the graph of 2 ) ( x x f = ( 29 2 2 ) ( + = x x g First, find points on the graph of f and g . x
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PP Section 3.4 - Techniques in Graphing f x = x 2 to obtain...

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