Section_2.5-Transformations of Functions

# Section_2.5-Transformations of Functions - Section 2.5...

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Section 2.5 Transformations of Functions Vertical Shifting EXAMPLE: Use the graph of f ( x ) = x 2 to sketch the graph of each function. (a) g ( x ) = x 2 + 3 (b) h ( x ) = x 2 2 EXAMPLE: Use the graph of f ( x ) = x 3 9 x to sketch the graph of each function. (a) g ( x ) = x 3 9 x + 10 (b) h ( x ) = x 3 9 x 20 1

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EXAMPLE: Use the graph of f ( x ) = x 3 9 x to sketch the graph of each function. (a) g ( x ) = x 3 9 x + 10 (b) h ( x ) = x 3 9 x 20 Horizontal Shifting EXAMPLE: Use the graph of f ( x ) = x 2 to sketch the graph of each function. (a) g ( x ) = ( x + 4) 2 (b) h ( x ) = ( x 2) 2 2
EXAMPLE: Use the graph of f ( x ) = x 2 to sketch the graph of each function. (a) g ( x ) = ( x + 4) 2 (b) h ( x ) = ( x 2) 2 EXAMPLE: How is the graph of y = f ( x 3) + 2 obtained from the graph of f ? Answer: The graph shifts right 3 units, then shifts upward 2 units. EXAMPLE: Sketch the graph of f ( x ) = x 3 + 4 . Reﬂecting Graphs EXAMPLE: Sketch the graph of each function. (a) f ( x ) = x 2 (b) g ( x ) = x 3

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EXAMPLE: Sketch the graph of each function. (a)
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## This note was uploaded on 02/26/2012 for the course MATH 8650 taught by Professor Kiryltsishchanka during the Spring '12 term at NYU.

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Section_2.5-Transformations of Functions - Section 2.5...

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