Stitz-Zeager_College_Algebra_e-book

Solving x3 2 3 4 x horizontal scale by a factor of 1

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Unformatted text preview: the graph of f , then f (a) = b so that g (a) = 2f (a) = 2b puts (a, 2b) on the graph of g . In other words, to obtain the graph of g , we multiply all of the y -coordinates of the points on the graph of f by 2. Multiplying all of the y -coordinates of all of the points on the graph of f by 2 causes what is known as a ‘vertical scaling7 by a factor of 2’, and the results are 7 Also called a ‘vertical stretch’, ‘vertical expansion’ or ‘vertical dilation’ by a factor of 2. 94 Relations and Functions given below. y y (5, 10) 10 10 9 9 8 8 7 7 6 6 (2, 6) (4, 6) (5, 5) 5 5 4 4 (2, 3) 3 3 (4, 3) 2 (0, 2) (0, 1) 1 1 2 3 4 5 x 1 vertical scaling by a factor of 2 2 3 4 x 5 −− − − − − − − − −→ −−−−−−−−−− y = f (x) y = 2f (x) multiply each y -coordinate by 2 If we wish to graph y = 1 f (x), we multiply the all of the y -coordinates of the points on the graph 2 1 1 of f by 2 . This creates a ‘vertical scaling8 by a factor of 2 ’ as seen below. y y (5, 5) 5 5...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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