the point (7,4) is on the graph of y=g(x) give the coordinates of one point which must be on the graph of each of the following functions.

1/4 g(x)

g(1/4x)

-g(4x)

-4 g(x)

the point (7,4) is on the graph of y=g(x) give the coordinates of one point which must be on the graph of each of the following functions.

1/4 g(x)

g(1/4x)

-g(4x)

-4 g(x)

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New Wilmington, PA

We have g(7)=4.

Define f_{1}(x) =1/4 g(x). Then f_{1}(7)=1/4 g(7) =1, so (7,1) is on the graph of f_{1}.

Define f_{2}(x) = g(1/4 x). Then f_{2}(28)= g(7) =4, so (28,4) is on the graph of f_{2}.

Define f_{3}(x) =-g(4x). Then f_{3}(7/4)= -g(7) =-4, so (7/4,-4) is on the graph of f_{3}.

Define f_{4}(x) =-4 g(x). Then f_{4}(7)=-4 g(7) =-16, so (7,-16) is on the graph of f_{4}.

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