Answer:
The graph of the function is the graph of the parent function shifted 1 unit to the left and 5 units down.
Step-by-step explanation:
If we have a function y = f(x + c), the graph of y will be the graph of f(x) shifted c units to the left.
If we have a function y = f(x) - c, the graph of y will be the graph of f(x) shifted c units down.
In this case, the parent function is f(x) = log₆x, then y = log₆(x + 1) - 5, so
y = f(x + 1) - 5
It means that the graph of the function is the graph of the parent function shifted 1 unit to the left and 5 units down.