$\"\"$

\

The function is $\"\"$ .

\

Take out negative one as a common factor.

\

$\"\"$

\

Complete the square.

\

$\"\"$

\

The function is a power function.

\

The standard form of the power function is $\"\"$ .

\

Graph :

\

Graph of the power function $\"\"$ :

\

$\"\"$

\

\

$\"\"$

\

The function is $\"\"$ .

\

Now substitute $\"\"$ instead of $\"\"$ in the power function.

\

$\"\"$ .

\

So $\"\"$ .

\

Horizontal shift : $\"\"$ , shift the graph of $\"\"$ a distance $\"\"$ units to the left.

\

Reflection : $\"\"$ , reflect the graph of $\"\"$ about the $\"\"$ axis.

\

Vertical shift : $\"\"$ , shift the graph of $\"\"$ a distance $\"\"$ units upward.

\

Therefore, $\"\"$ is the graph of $\"\"$ shift $\"\"$ unit to the left and after that reflect about $\"\"$ axis.

\

Next shift to a distance of $\"\"$ units upward.

\

Graph :

\

Graph of the function $\"\"$ .

\

(1) Draw the coordinate plane.

\

(2) Graph of the function $\"\"$ .

\

(3) Shift the graph of $\"\"$ to a distance of $\"\"$ unit to the left

\

(4) After that reflect the graph of $\"\"$ about the $\"\"$ axis.

\

(5) Now shift the graph of $\"\"$ to a distance of $\"\"$ units upward.

\

$\"\"$

\

$\"\"$

\

Graph of the function $\"\"$ is

\

$\"\"$