Consider the function f(x)=-3x2+12x-5. What is the location of the vertex? Write your answer as an ordered pair.

The (x,y) point of the vertex is usually labelled as:

Vertex = (h, k)

h = -b / 2a

k = ah^2 + bh + c

f(x) = -3x^2 + 12x -5

a = -3 b=12 c=-5

h = -12 / -6  therefore h = 2

k = -3*2^2 + 12*2 -5

k = -12 + 24 -5  therefore k = 7

Vertex (2, 7)

Source: http://www.1728.org/quadr3.htm

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