\

Points on the graph of the function are $\"\"$ , and $\"\"$ .

\

(a)

\

The function is $\"\"$ .

\

$\"\"$ , shift the graph of $\"\"$ $\"\"$ units up.

\

To obtain the graph of $\"\"$ , shift the graph $\"\"$ by $\"\"$ units upward.

\

Replace $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ :

\

$\"\"$

\

\

(b)

\

The function is $\"\"$ .

\

$\"\"$ , shift the graph of $\"\"$ $\"\"$ units to the left.

\

To obtain the graph of $\"\"$ , shift the graph $\"\"$ by $\"\"$ units to the left.

\

Replace $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(c)

\

The function is $\"\"$ .

\

To obtain the graph of $\"\"$ , reflects the graph $\"\"$ about the $\"\"$ axis.

\

The graph of $\"\"$ is obtained from $\"\"$ by multiplying each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(d)

\

The function is $\"\"$ .

\

To obtain the graph of $\"\"$ , shifts the graph $\"\"$ by $\"\"$ unit towards left. and $\"\"$ units downward.

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Then the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(e)

\

The function is $\"\"$ .

\

To obtain the graph of $\"\"$ is obtained from $\"\"$ , divide each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(f)

\

The function is $\"\"$ .

\

To obtain the graph $\"\"$ , reflect the graph of $\"\"$ about the $\"\"$ axis.

\

Replace $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(g)

\

The function is $\"\"$ .

\

To obtain the graph of $\"\"$ is obtained from $\"\"$ , multiply each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

\

The points $\"\"$ , and $\"\"$ are on $\"\"$ .

\

Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ .

\

$\"\"$

\

\

(a) Graph of $\"\"$ .

\

$\"\"$

\

(b) Graph of $\"\"$ .

\

$\"\"$

\

(c) Graph of $\"\"$ .

\

$\"\"$

\

(d) Graph of $\"\"$ .

\

$\"\"$

\

(e) Graph of $\"\"$ .

\

$\"\"$

\

(f) Graph of $\"\"$ .

\

$\"\"$

\

(g) Graph of $\"\"$ .

\

$\"\"$ .