How does the graph of mc024-1.jpg compare to the graph of the parent function mc024-2.jpg?

Asked by maham237 @ in Mathematics viewed by 309 People

g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).

Answered by maham237 @


The question is as following:
How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x ?

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Solution :
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The given function ⇒ g(x) = \frac{1}{x-5} +2

The parent function of the given function ⇒ f(x)= \frac{1}{x}

By graphing both of the equations as shown in the attached figure.
So, we can conclude the following
g(x) is shifted 5 units right and 2 units up from f(x).


So, the correct answer is option 2

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