Option (A) [tex]G(x) =\frac{1}{x+10}[/tex] shifts 10 units to the left of the parent function f(x) horizontally is the correct answer.
What is graph of a function?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The reciprocal parent function, [tex]F(x) = \frac{1}{x}[/tex].
The function is shifted horizontally 10 units left.
The graph below shows the parent function F(x) and the shifted new function G(x).
From the graph, the function [tex]G(x) =\frac{1}{x+10}[/tex] shifts 10 units to the left of the parent function f(x) horizontally.
Hence we can conclude that option (A) [tex]G(x) =\frac{1}{x+10}[/tex] shifts 10 units to the left of the parent function f(x) horizontally is the correct answer.
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