CEMC Euclid, 2009

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

In the diagram, $D$ is the vertex of a parabola. The parabola cuts the $x$ -axis at $A$ and at $C(4, 0)$ . The parabola cuts the $y$ -axis at $B(0, -4)$ . The area of $\triangle ABC$ is $4$ . Determine the area of $\triangle DBC$ .

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