What is the vertices x^2+8x+18 ?

The vertices x^2+8x+18 is Minimum (-4,2)

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vertices x^2+8x+18

vertices

x^{2} + 8 x + 18

Minimum (- 4, 2)

Solution steps

y = x^{2} + 8 x + 18

The parabola parameters are:

a = 1, b = 8, c = 18

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

x_{v} = - \frac{8}{2 \cdot 1}

Simplify

x_{v} = - 4

Plug in

x_{v} = - 4

to find the

y_{v}

value

y_{v} = 2

Therefore the parabola vertex is

(- 4, 2)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- 4, 2)

x = - 2 (y + 3)^{2} + 4

x^{2} + 5 x - 14

f (x) = x^{2} + 8 x + 7

3 x^{2} + 3 x + 2 y = 0

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