What is the vertices f(x)=-3x^2+12x-8 ?

The vertices f(x)=-3x^2+12x-8 is Maximum (2,4)

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vertices f(x)=-3x^2+12x-8

vertices

f (x) = - 3 x^{2} + 12 x - 8

Maximum (2, 4)

Solution steps

y = - 3 x^{2} + 12 x - 8

The parabola parameters are:

a = - 3, b = 12, c = - 8

x_{v} = - \frac{b}{2 a}

x_{v} = - \frac{12}{2 ( - 3 )}

Simplify

- \frac{12}{2 ( - 3 )} : 2

x_{v} = 2

Plug in

x_{v} = 2

to find the

y_{v}

value

y_{v} = 4

Therefore the parabola vertex is

(2, 4)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = - 3

Maximum (2, 4)

9 x^{2} + y^{2} = 9

y = x^{2}

x^{2} = 2 y

x = y^{2}

1 = x^{2} + y^{2}

What is the vertices f(x)=-3x^2+12x-8 ?
The vertices f(x)=-3x^2+12x-8 is Maximum (2,4)