We have been given the parent function as y=\frac{1}{x}.
We need to write the equation when the graph of this function is shifted left by 6 units.
We know the rule that when we add a constant "c" to the x value of the parent function then the graph will shift left by 'c' units.
Here the parent function is shifted left by 6 units. Hence, we must add 6 to the x.
Therefore, the equation of the parent function becomes
[tex]y=\frac{1}{x+6}[/tex]
