Explanation Definition used: Horizontal shifts of graphs: If k is a positive real number, the graph of g ( x ) = f ( x − h ) can be obtained by shifting the graph of f ( x ) to the right h units. The graph of g ( x ) = f ( x + h ) can be obtained by shifting the graph of f ( x ) to the left h units. Vertical shifts of graphs: If k is a positive real number, the graph of g ( x ) = f ( x ) + k can be obtained by shifting the graph of f ( x ) upward k units. The graph of g ( x ) = f ( x ) − k can be obtained by shifting the graph of f ( x ) downward k units. Calculation: The given function is f ( x ) = | x | . From the given graph, it is observed that the point ( 0 , 0 ) of the function f ( x ) = | x | is shifted to the point ( − 3 , − 2 ) . Thus, the graph of y = g ( x ) is obtained if the graph of the function f ( x ) = | x | is shifted 3 units left and 2 units downward

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ISBN: 9780134179926

Author: HARSHBARGER

Publisher: PEARSON CO

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 4.1, Problem 31E

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To write: The equation of the function g(x) that is transformed from the function f(x)=|x|.

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Chapter 4.1, Problem 30E

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EBK COLLEGE ALG.IN CONTEXT W/APPL.F/MAN

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The equation of the function g ( x ) that is transformed from the function f ( x ) = | x | .

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