What is the vertices (x^2x^1)/x ?

The vertices (x^2x^1)/x is Minimum (0,0)

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vertices (x^2x^1)/x

vertices

\frac{x ^{2} x ^{1}}{x}

Minimum (0, 0)

Solution steps

y = \frac{x ^{2} x ^{1}}{x}

Rewrite

y = \frac{x ^{2} x ^{1}}{x}

in the form

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

y = x^{2}

The parabola parameters are:

a = 1, b = 0, c = 0

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

x_{v} = - \frac{0}{2 \cdot 1}

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 = 1

Minimum (0, 0)

y = x^{2} - 2 x

f (x) = 3 x^{2} + 6 x + 4

f (x) = 5 x^{2}

f (x) = x^{2} - 6 x + 9

x^{2} + x + 1