Question 622703
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Hi,
y = 12x + 4 - x^2.    |putting into the general order...
 y = ax^2 + bx + 4 
y = -x^2 + 12x + 4    |putting into Vertex Form {{{y = a(x-h)^2 + k}}} by completing the Square
y = -(x-6)^2 + 36 + 4
y = -(x-6)^2 + 40   V(6,40)
If You are having difficulty completing the Square, this short-cut may help:
  {{{h = -b/2a = -12/-2 = 6}}}
  {{{k = c - (b^2/4a) = 4 -144/-4 = 40}}}