What is the vertices f(x)=x^2+8x+7 ?

The vertices f(x)=x^2+8x+7 is Minimum (-4,-9)

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vertices f(x)=x^2+8x+7

vertices

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

Minimum (- 4, - 9)

Solution steps

y = x^{2} + 8 x + 7

The parabola parameters are:

a = 1, b = 8, c = 7

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} = - 9

Therefore the parabola vertex is

(- 4, - 9)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- 4, - 9)

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

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

y = 2 x^{2} - 7

y = - 3 x^{2} - 36 x - 104

f (x) = x^{2} - 6 x + 11

What is the vertices f(x)=x^2+8x+7 ?
The vertices f(x)=x^2+8x+7 is Minimum (-4,-9)