Step 1: Determine the vertex form of the quadratic function**
Given points: (-3,3), (-4,0), (-2,0)
Vertex form of a quadratic function is \(a(x-h)^2 + k\)
Since the vertex is at (-3,3), we have h = -3 and k = 3
So the vertex form is \(a(x+3)^2 + 3\)
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