What is the vertex form of y=−3x2+12x−8?

1 Answer
Pris
Dec 21, 2016

The vertex form of y=−3x2+12x−8 is y=−3(x−2)2+4

Explanation:

To derive vertex form y=a(x−h)2+k from general quadratic form y=ax2+bx+c,
you can use completing the square

y=−3x2+12x−8
=−3(x2−4x+83)
=−3(x2−4x+(−2)2−(−2)2+83)
=−3((x−2)2−4+83)
=−3((x−2)2−43)
=−3(x−2)2−4

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