$\"\"$

The shape of arch can be modeled by the equation $\"\"$ , where x and y are measured in feet.

$\"\"$

Factor by using the GCF.

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

The arch touch the floor then y = 0.

$\"\"$

Apply zero product property: $\"\"$ .

$\"\"$

Solve the first equation, $\"\"$ .

Solve the second equation, $\"\"$ . $\"\"$

Graph the equation $\"\"$ is

$\"graph$

$\"\"$

(a)The factored form of equation is $\"\"$ .

(b)The arch touch the floor at 9 feet.

(c)The highest point of arch 10.125 feet.