Hi,

Using the vertex form of a parabola,  

where(h,k) is the vertex

P(x) = -3x^2 + 24x - 46   |Completing the Square to find vertex form

P(x) = -3(x^2 -8x +16) +48  - 46

P(x) = -3(x-4)^2 + 2   V(4,2) 

 0 = -3(x-4)^2 + 2 

 (x-4)^2 = 2/3,  x = 4 ±  



 

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