$\"\"$

\

The exponential function is $\"\"$ .

\

(a)

\

Property : $\"\"$ shifts the graph of $\"\"$ to a distance of $\"\"$ units downwards.

\

Graph :

\

Graph the function $\"\"$ .

\

Shift the graph of $\"\"$ by $\"\"$ units downwards.

\

$\"\"$

\

Observe the graph ;

\

The graph of the function $\"\"$ is shift $\"\"$ units downwards.

\

Hence the graph of the function $\"\"$ shift $\"\"$ units downwards is $\"\"$ .

\

$\"\"$

\

(b)

\

Property : $\"\"$ shifts the graph of $\"\"$ to a distance of $\"\"$ units right.

\

Graph :

\

Graph the function $\"\"$ .

\

Shift the graph of $\"\"$ by $\"\"$ units right.

\

$\"\"$

\

Observe the graph ;

\

The graph of the function $\"\"$ is shift $\"\"$ units right.

\

Hence the graph of the function $\"\"$ shift $\"\"$ units right is $\"\"$ .

\

$\"\"$

\

(c)

\

Property : $\"\"$ reflects the graph of $\"\"$ about $\"\"$ axis.

\

Graph :

\

Graph the function $\"\"$ .

\

Reflect the graph of about $\"\"$ axis.

\

$\"\"$

\

Observe the graph ;

\

The graph of the function $\"\"$ is refected about $\"\"$ axis.

\

Hence the graph of the function $\"\"$ is refected about $\"\"$ axis is $\"\"$ .

\

$\"\"$

\

(d)

\

Property : $\"\"$ reflects the graph of $\"\"$ about $\"\"$ axis.

\

Graph :

\

Graph the function $\"\"$ .

\

Reflect the graph of about $\"\"$ axis.

\

$\"\"$

\

Observe the graph ;

\

The graph of the function $\"\"$ is refected about $\"\"$ axis.

\

Hence the graph of the function $\"\"$ is refected about $\"\"$ axis is $\"\"$ .

\

$\"\"$

\

(e)

\

Property : $\"\"$ ,first reflects the graph of $\"\"$ about $\"\"$ axis and then refects about $\"\"$ axis.

\

Graph :

\

Graph the function $\"\"$ .

\

Reflect the graph of about $\"\"$ axis and then refect about $\"\"$ axis..

\

$\"\"$

\

Observe the graph ;

\

The graph of the function $\"\"$ is refected about $\"\"$ axis and $\"\"$ axis..

\

Hence the graph of the function $\"\"$ is refected about $\"\"$ axis is $\"\"$

\

$\"\"$

\

(a) $\"\"$ .

\

(b) $\"\"$ .

\

(c) $\"\"$ .

\

(d) $\"\"$ .

\

(e) $\"\"$ .