Functions f and g are graphed in the same rectangular coordinate system (see attached herewith). If g is obtained from f through a sequence of transformations, find an equation for g

Question
Performing transformations
asked 2021-02-27
Functions f and g are graphed in the same rectangular coordinate system (see attached herewith). If g is obtained from f through a sequence of transformations, find an equation for g
image

Answers (1)

2021-02-28
image
We know function g(x) is obtained from f(x)
transformations we use for g(x) are
\(f(x)g=|x|\) reflection of f(x) with x−axis
\(=>-∣x∣\)
then we shift our resultant graph by 5 units towards left on x axis
\(=>-∣x−5∣\)
then at last shift the resultant graph by 1 unit towards upward
\(g(x)=-x∣x−5∣∣+1\)
0

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