What is the vertices x^2+6x+7 ?

The vertices x^2+6x+7 is Minimum (-3,-2)

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vertices x^2+6x+7

vertices

x^{2} + 6 x + 7

Minimum (- 3, - 2)

Solution steps

y = x^{2} + 6 x + 7

The parabola parameters are:

a = 1, b = 6, c = 7

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

x_{v} = - \frac{6}{2 \cdot 1}

Simplify

x_{v} = - 3

Plug in

x_{v} = - 3

to find the

y_{v}

value

y_{v} = - 2

Therefore the parabola vertex is

(- 3, - 2)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- 3, - 2)

f (x) = 6 x^{2} - x + 1

y = 2 x^{2} + 10 x + 12

x^{2} + 4 x - 21

x^{2} + 4 x - 12

- x^{2} + 2 x + 3