What is the vertices y=x(x-18) ?

The vertices y=x(x-18) is Minimum (9,-81)

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vertices y=x(x-18)

vertices

y = x (x - 18)

Minimum (9, - 81)

Solution steps

y = x (x - 18)

y = x (x - 18)

The parabola parameters are:

a = 1, m = 0, n = 18

x_{v} = \frac{m + n}{2}

x_{v} = \frac{0 + 18}{2}

Simplify

x_{v} = 9

Plug in

x_{v} = 9

to find the

y_{v}

value

y_{v} = - 81

Therefore the parabola vertex is

(9, - 81)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (9, - 81)

y = - x^{2} + 4

5 (x + 2)^{2} - 3

y^{2} - 8 x = 0

f (x) = - x^{2} + 8 x - 15

y = x^{2} + 6