Question

Please help: describe how the graph of each function compares with the graph of the parent function, y=logb^X

Answer 1

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.