The graph of the reciprocal parent function, f(x) = 1/x will be g(x) = 1/(x + 8) + 5. The correct answer is option A.
What is a parent function?
A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The function g(x) will be calculated as:-
Staring with 1/x a shift up of 5 units makes it 1/x + 5. A shift of 8 to the left makes it 1/(x + 8) + 5.
The graph of both the functions f(x) and g(x) is attached with the answer below.
Therefore, the graph of the reciprocal parent function, f(x) = 1/x will be g(x) = 1/(x + 8) + 5. The correct answer is option A.
The complete question with options is attached in the figure with the answer below.
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