What is the vertices f(x)=x^2+10x+21 ?

The vertices f(x)=x^2+10x+21 is Minimum (-5,-4)

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vertices f(x)=x^2+10x+21

vertices

f (x) = x^{2} + 10 x + 21

Minimum (- 5, - 4)

Solution steps

y = x^{2} + 10 x + 21

The parabola parameters are:

a = 1, b = 10, c = 21

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

x_{v} = - \frac{10}{2 \cdot 1}

Simplify

x_{v} = - 5

Plug in

x_{v} = - 5

to find the

y_{v}

value

y_{v} = - 4

Therefore the parabola vertex is

(- 5, - 4)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- 5, - 4)

y = (9 x - 2) x 3

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

f (x) = x^{2} - 4 x + 1

y = 3 x^{2} + 5 x - 4

y = x^{2} + 4

What is the vertices f(x)=x^2+10x+21 ?
The vertices f(x)=x^2+10x+21 is Minimum (-5,-4)