What is the vertices f(x)=-x^2-4x ?

The vertices f(x)=-x^2-4x is Maximum (-2,4)

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vertices f(x)=-x^2-4x

vertices

f (x) = - x^{2} - 4 x

Maximum (- 2, 4)

Solution steps

y = - x^{2} - 4 x

The parabola parameters are:

a = - 1, b = - 4, c = 0

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

x_{v} = - \frac{( - 4 )}{2 ( - 1 )}

Simplify

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 = - 1

Maximum (- 2, 4)

x^{2} - 12 x + 44

2 y^{2} - 8 x - 24 y + 56 = 0

f (x) = (x + 4)^{2}

f (x) = x^{2} + 3 x + \frac{1}{4}

f (x) = - x^{2} - 2 x