The graph of g is a transformation of the graph of g. [b]Describe[/b] this geometric transformation.

In the table below, you can see some values we captured from both functions. [b]Compare[/b] them. 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[/img]

Look closely to the expression of f. [b]Describe[/b] how this expression was changed to get the expression of g.

[b]Write down[/b] g(x) in terms of f(x).

The graph of g is a transformation of the graph of g. [b]Describe[/b] this geometric transformation.

Compare both algebraic expressions. [b]Describe[/b] how the expression of f was changed into the expression of g.

In the table below, we are comparing the y-coordinates, that is, when each function reaches a certain y value. Choose a certain y-coordinate, what do you notice about the 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Write down g(x) in terms of f(x).