The graph of Function [tex]y = \frac{1}{x-5}+2[/tex] is same as the graph of [tex]y = \frac{1}{x}[/tex]
"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner."
"Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."
We have
[tex]y = \frac{1}{x}[/tex]
The function is shifted 5 units right
⇒[tex]y = \frac{1}{x-5}[/tex]
The function is shifted 2 units up
⇒[tex]y = \frac{1}{x-5}+2[/tex]
Hence, function becomes [tex]y = \frac{1}{x-5}+2[/tex]
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