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The graph of g(x) is the result of translating the graph of f(x) = [1/2]× three units to the left. What is the equation of g(x)?

A. g(x)=[1/2]×-3
B. g(x)=[1/2]×+3
C. g(x)=[1/2]×-3
D. g(x)=[1/2]× +3

Sagot :

To shift a graph to the left you add to the x value

The answer would be B. g(x)=[1/2]×+3

The equation of g(x) = [1/2]x + 3 which is correct option (B)

What is translation of graph?

A translation of a graph is a shifting of the graph either horizontally or vertically parallel to the axis.

If g(x) was translated three units to the left to create f(x)= [1/2]x, then

g(x) - 3 = f(x)

g(x) = f(x) + 3 = [1/2]x + 3

So g(x) = [1/2]x + 3

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