What is the vertices x^2-8x+9 ?

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

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vertices x^2-8x+9

vertices

x^{2} - 8 x + 9

Minimum (4, - 7)

Solution steps

y = x^{2} - 8 x + 9

The parabola parameters are:

a = 1, b = - 8, c = 9

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} = - 7

Therefore the parabola vertex is

(4, - 7)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (4, - 7)

x^{2} - 8 x + 7

x^{2} + 16

y = x^{2} + 4 x

f (x) = (x - 4)^{2} - 3

f (x) = 2 x^{2} - 3 x - 5