$\"\"$

(a)

The table represents the height of a tree in feet at various ages.

The term $\"\"$ represents age of the tree.

The term $\"\"$ represents height of the tree in feet.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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

Graph :

$\"\"$

From the graph the quadratic equation obtained is $\"\"$ . $\"\"$

(b)

The function is $\"\"$ .

To find the height of tree at $\"\"$ years perform synthetic substitution to evaluate $\"\"$ at $\"\"$ .

$\"\"$

The remainder is $\"\"$ .

Therefore, the height of the tree at $\"\"$ years is about $\"\"$ feet.

$\"\"$

(a). The quadratic function is $\"\"$ .

(b). The height of the tree at $\"\"$ years is about $\"\"$ feet.