$\"\"$

\

The function $\"\"$ .

\

$\"\"$

\

Change of base formula is $\"\"$ .

\

$\"\"$

\

The function $\"\"$ .

\

$\"\"$

\

Multiply and divide with $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Vertical stretch : $\"\"$ , stretch the graph of $\"\"$ vertically by a factor of $\"\"$ .

\

Compare $\"\"$ with $\"\"$ .

\

Here $\"\"$ .

\

Hence the graph of $\"\"$ stretches the graph of $\"\"$ vertically by a factor of $\"\"$ .

\

$\"\"$

\

The graph of $\"\"$ stretches the graph $\"\"$ vertically by a factor of $\"\"$ .