Respuesta :

caylus
Hello,
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Answer C
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g(x)=3x²-12x+7=3(x²-2*2x+4)+7-12
=3(x-2)²-5
Vertex is (2,-5)
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calculista

we know that

The equation of the vertical parabola is of the form

[tex]y=a(x-h)^{2} +k[/tex]

where

[tex](h,k)[/tex] is the vertex of the parabola

In this problem we have

[tex]g(x)=3(x-2)^{2} -5[/tex]

The parabola open upward

The vertex is a minimum

The vertex is the point [tex](2,-5)[/tex]

therefore

the answer is the option C

[tex](2,-5)[/tex]