How does the graph of mc024-1.jpg compare to the graph of the parent function mc024-2.jpg? 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).
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 ?
================================================= Solution : ======== The given function ⇒ [tex]g(x) = \frac{1}{x-5} +2 [/tex]
The parent function of the given function ⇒ [tex]f(x)= \frac{1}{x} [/tex]
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).