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)?
2 answers:
Answer:
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.
- If we add a constant k to the function then the graph of the function will shift up by k units.
- If we subtract a constant k to the function then the graph of the function will shift down by k units.
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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