What is the vertices 2x^2-3 ?

The vertices 2x^2-3 is Minimum (0,-3)

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vertices 2x^2-3

vertices

2 x^{2} - 3

Minimum (0, - 3)

Solution steps

y = 2 x^{2} - 3

The parabola parameters are:

a = 2, b = 0, c = - 3

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} = - 3

Therefore the parabola vertex is

(0, - 3)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 2

Minimum (0, - 3)

x^{2} = - 12 y

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

x^{2} + 8 y + 2 x - 23 = 0

y = x^{2} - 10 x + 24

2 x^{2} - 5 x + 5