Find the Quadratic Function $f$ Whose Graph Intersects The $x$ -Axis At $( 2,0 )$

Find the quadratic function $f$ whose graph intersects the $x$ -axis at $( 2,0 )$ and $( 3,0 )$ and the $y$ -axis at $( 0 , - 18 )$ .

A) $f ( x ) = 3 x ^ { 2 } + 3 x + 9$
B) $f ( x ) = - 3 x ^ { 2 } + 15 x - 18$
C) $f ( x ) = - 3 x ^ { 2 } - 3 x + 6$
D) $f ( x ) = 3 x ^ { 2 } - 3 x - 18$
E) $f ( x ) = 3 x ^ { 2 } - 15 x - 18$

Correct Answer:

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