The function f(x) = 2x and g(x) = f(x) + k if k = 2 , what can be concluded about the graph g(x)?

Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.

 Suppose that k> 0

 To graph y = f (x) + k, move the graph of k units up.

 To graph y = f (x) -k, move the graph of k units down.

 We have then:

 f (x) = 2 ^ x

 g (x) = f (x) + k

 if k = 2

 then,

 the graph of g (x) is shifted vertically 2 units up

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