What is the vertices y=x^2-2x-3 ?

The vertices y=x^2-2x-3 is Minimum (1,-4)

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vertices y=x^2-2x-3

vertices

y = x^{2} - 2 x - 3

Minimum (1, - 4)

Solution steps

y = x^{2} - 2 x - 3

The parabola parameters are:

a = 1, b = - 2, c = - 3

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

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

Simplify

x_{v} = 1

Plug in

x_{v} = 1

to find the

y_{v}

value

y_{v} = - 4

Therefore the parabola vertex is

(1, - 4)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (1, - 4)

y = x^{2} + 2 x + 1

10 + 3 x^{2}

x^{2} - 5 x - 24

y = (2 x)^{2}

y = 2 x^{2} - 19 x + 9