What is the vertices 2x^2 ?

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

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vertices 2x^2

vertices

2 x^{2}

Minimum (0, 0)

Solution steps

y = 2 x^{2}

The parabola parameters are:

a = 2, b = 0, c = 0

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

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

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 = 2

Minimum (0, 0)

4 y^{2} - 25 x^{2} = 100

- 9 x^{2} + y^{2} - 72 x - 153 = 0

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

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

\frac{x ^{2}}{36} + \frac{y ^{2}}{100} = 1