What is the vertices y=x^2+1 ?

The vertices y=x^2+1 is Minimum (0,1)

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vertices y=x^2+1

vertices

y = x^{2} + 1

Minimum (0, 1)

Solution steps

y = x^{2} + 1

The parabola parameters are:

a = 1, b = 0, c = 1

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} = 1

Therefore the parabola vertex is

(0, 1)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (0, 1)

4 x^{2} - 24 x + 31

y = x^{2} + x

y = 9 x^{2}

y = 8 x^{2} + 22 x - 13

y = x^{2} + 8 x + 18