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 \(a+b+c?\)
by
Ajay Dutta