Maximum of Quadratic

Algebra Level 2

Consider the quadratic function

\[y=ax^2+bx+c,\]

where \(a\), \(b\) and \(c\) are constants. If \(y\) has a maximum value of \(54\), and the graph of \(y\) passes through the two points \((-2, 0)\) and \((4, 0),\) what is the value of \(a+b+c?\)

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