What is the vertices 2x^2-6x+15 ?

The vertices 2x^2-6x+15 is Minimum (3/2 , 21/2)

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vertices 2x^2-6x+15

vertices

2 x^{2} - 6 x + 15

Minimum (\frac{3}{2}, \frac{21}{2})

Solution steps

y = 2 x^{2} - 6 x + 15

The parabola parameters are:

a = 2, b = - 6, c = 15

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

x_{v} = - \frac{( - 6 )}{2 \cdot 2}

Simplify

- \frac{- 6}{2 \cdot 2} : \frac{3}{2}

x_{v} = \frac{3}{2}

Plug in

x_{v} = \frac{3}{2}

to find the

y_{v}

value

y_{v} = \frac{21}{2}

Therefore the parabola vertex is

(\frac{3}{2}, \frac{21}{2})

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 2

Minimum (\frac{3}{2}, \frac{21}{2})

(x + 1)^{2} = - 6 (y - 4)

x^{2} - 2 x - 4 y + 13 = 0

5 x^{2} - 10

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

y = 18 x^{2} - 6 x + 4

What is the vertices 2x^2-6x+15 ?
The vertices 2x^2-6x+15 is Minimum (3/2 , 21/2)