Question

Explain how the graph of the given function can be obtained from the graph of y=log1_3x to graph the function below. Then sketch a graph of the function.y=log_3(x-4)

Answer 1

The parent function is

$y=\log _3x$

Then, the function

$y=\log _3(x-4)$

can be obtained by translating the parent function to the right by 4 units, that is

$y=f(x)\longrightarrow y=f(x-4)$

The graphs of the functions are