$\"\"$

\

The equation is $\"\"$ .

\

(subtract 6x from each side)

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

(Take out common factor)

\

$\"\"$ $\"\"$

\

(Apply zero product property: If ab = 0 then a = 0 or b = 0)

\

$\"\"$

\

(Add 3 to each side)

\

\

$\"\"$

\

$\"\"$

\

The solution set is $\"\"$ . $\"\"$

\

(Apply axis of symmetry formula: $\"\"$ )

\

Substitute values (a = 1, and $\"\"$ )

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Now we can find y-value, the x-coordinate of the vertex is 3.

\

Substitute 3 in the equation of $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Draw a coordinate plane

\

Draw the equation $\"\"$ .

\

$\"graph$

\

The vertex is at $\"\"$ . Graph the x-intercepts $\"\"$ and the vertex is $\"\"$ ,

\

connecting them with a smooth curve. $\"\"$

\

The solution set is $\"\"$ and graph of the equation is

\

$\"graph$