The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph? the graph of g(x) is shifted 2 units to the left of the graph of f(

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

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

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