The function f(x)=2^x and g(x)=f(x)+k. if k=-5,what can be concluded about the graph of g(x)? the graph of g(x) is shifted horizontally a.5 units to the left of the graph of f(x) b. 5 units to the right of the graph of f(x) c. the graph is not shifted horizontally from the graph of f(x)

c. the graph is not shifted horizontally from the graph of f(x)

Step-by-step explanation:

The parent function is given by

The transformation function is

For k = -5, we have

The transformation of graph rule: Whenever, we add or subtract any constant in the function then there will be transformation in vertical direction.

Whenever, we add/subtract any constant in the x values then there would be transformation in horizontal direction.

Here 5 is subtracted in f(x) to get g(x) hence, here will be transformation in vertical direction not in horizontal direction.

Therefore, c is the correct option.

c. the graph is not shifted horizontally from the graph of f(x)

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step-by-step explanation:

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