What is the vertexform p(x)=21+24x+6x^2 ?

The vertexform p(x)=21+24x+6x^2 is Minimum (-2,-3)

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Find the Vertex Form p(x)=21+24x+6x^2

vertex form

p (x) = 21 + 24 x + 6 x^{2}

Minimum (- 2, - 3)

Solution steps

y = 21 + 24 x + 6 x^{2}

Rewrite

y = 21 + 24 x + 6 x^{2}

in the vertex form

y = 6 (x - (- 2))^{2} - 3

The parabola parameters are:

a = 6, h = - 2, k = - 3

Therefore the parabola vertex is

(h, k) = (- 2, - 3)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 6

Minimum (- 2, - 3)

y = - 6 x^{2} + 3 x + 2

h (x) = x^{2} - 14 x + 6

8 x^{2} - 48 x + 65

x^{2} + y^{2} - 8 x - 6 y + 21 = 0

f (x) = x^{2} - 14 x + 6

What is the vertexform p(x)=21+24x+6x^2 ?
The vertexform p(x)=21+24x+6x^2 is Minimum (-2,-3)