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

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

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vertices y=x^2+3x+2

vertices

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

Minimum (- \frac{3}{2}, - \frac{1}{4})

Solution steps

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

The parabola parameters are:

a = 1, b = 3, c = 2

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

x_{v} = - \frac{3}{2 \cdot 1}

Simplify

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

Plug in

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

to find the

y_{v}

value

y_{v} = - \frac{1}{4}

Therefore the parabola vertex is

(- \frac{3}{2}, - \frac{1}{4})

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- \frac{3}{2}, - \frac{1}{4})

y = 4 x^{2} - 16 x + 22

x^{2} + 8 x - 12 y + 88 = 0

4 x^{2} - 16 x + 11

f (x) = x^{2} - 5 x - 6

5 x^{2} + 7 y = 3

What is the vertices y=x^2+3x+2 ?
The vertices y=x^2+3x+2 is Minimum (-3/2 ,-1/4)