Answer:
Option C will be the new equation.
Step-by-step explanation:
If a function is the form of f(x) = ax
and we know when a function is shifted left by b then variable x becomes [x - (-b)] and if the this function is shifted upwards by c then it gets the form of
f(x) = a(x + b) + c
Similarly in the given question parent function is shifted left by 3 and up by 3 units.
And the parent function is [tex]g(x)=\frac{1}{x}[/tex]
Now the new function will become as [tex]g(x)=\frac{1}{x+3}+3[/tex]
Therefore Option C will be the correct option.
