$\"\"$

\

The function is $\"\"$ .

\

Write the function in complete square form.

\

To change the expression $\"\"$ in to a perfect square trinomial add and subtract $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Now it is in the form of $\"\"$ .

\

$\"\"$

\

Graph of $\"\"$ .

\

From the properties of power functions the graph of $\"\"$ is always contains the points $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Now the first translation is the graph of $\"\"$ shifting $\"\"$ units to right.

\

Graph $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Next translation is the graph of $\"\"$ compressed $\"\"$ units vertically.

\

Graph of $\"\"$

\

$\"\"$

\

$\"\"$

\

Next translation is the graph of $\"\"$ reflects about the $\"\"$ axis.

\

Graph $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Next translation is the graph of $\"\"$ shifts $\"\"$ units up.

\

Graph of $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Graph of the function $\"\"$ .

\

$\"\"$