What is the vertices x^2-9x+20 ?

The vertices x^2-9x+20 is Minimum (9/2 ,-1/4)

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vertices x^2-9x+20

vertices

x^{2} - 9 x + 20

Minimum (\frac{9}{2}, - \frac{1}{4})

Solution steps

y = x^{2} - 9 x + 20

The parabola parameters are:

a = 1, b = - 9, c = 20

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

x_{v} = - \frac{( - 9 )}{2 \cdot 1}

Simplify

x_{v} = \frac{9}{2}

Plug in

x_{v} = \frac{9}{2}

to find the

y_{v}

value

y_{v} = - \frac{1}{4}

Therefore the parabola vertex is

(\frac{9}{2}, - \frac{1}{4})

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (\frac{9}{2}, - \frac{1}{4})

x (x - 4)

f (x) = x^{2} - 8 x + 9

y = 3 x^{2} + 9 x + 9

f (x) = x^{2} + 10 x + 7

f (x) = x^{2} - 3 x - 18