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lisabon 2012 [21]
3 years ago
6

The function g(x)=3x2-12x+7 written I’m vertex form is g(x)=3(x-2)2-5 what is the vertex of g(x)

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

(2,-5)

Step-by-step explanation:

The vertex form is y = a (x-h)^2 + k and has vertex (h,k). Remember h is the opposite value of the value in the equation.

This means 3(x-2)^2-5 has vertex (2,-5)

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Solve x2 – 7x = –13.
aleksklad [387]

we have

x^{2} -7x=-13

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x^{2} -7x+3.5^{2}=-13+3.5^{2}

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Rewrite as perfect squares

(x-3.5)^{2}=-0.75

remember that

i=\sqrt{-1}

Square root both sides

(x-3.5)=(+/-)\sqrt{-0.75}

(x-3.5)=(+/-)\sqrt{-1*0.75}

(x-3.5)=(+/-)\sqrt{0.75}i

x1=3.5+\sqrt{0.75}i

x2=3.5-\sqrt{0.75}i

Simplify

\sqrt{0.75}=\frac{\sqrt{3}}{2}

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

therefore

<u>the answer is</u>

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

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