What is the vertices x^2+6y=0 ?

The vertices x^2+6y=0 is Maximum (0,0)

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vertices x^2+6y=0

vertices

x^{2} + 6 y = 0

Maximum (0, 0)

Solution steps

x^{2} + 6 y = 0

Rewrite

x^{2} + 6 y = 0

in the form

y = a x^{2} + b x + c

y = - \frac{x ^{2}}{6}

The parabola parameters are:

a = - \frac{1}{6}, b = 0, c = 0

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

x_{v} = - \frac{0}{2 ( - \frac{1}{6} )}

Simplify

x_{v} = 0

Plug in

x_{v} = 0

to find the

y_{v}

value

y_{v} = 0

Therefore the parabola vertex is

(0, 0)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = - \frac{1}{6}

Maximum (0, 0)

f (x) = 7 x^{2} - x + 1

f (x) = 3 x^{2} - 6 x + 2

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

- x^{2} - 6 x - 9

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