IB Maths HL Completing the square

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IB Maths HL Completing the square

Postby Max » Sat Apr 06, 2013 7:04 pm

IB Mathematics HL– Complete the square


How can we complete the square and find the vertex of the following quadratic function:




Thanks
Max
 
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Re: IB Maths HL Completing the square

Postby miranda » Sat Apr 06, 2013 7:06 pm

IB Mathematics HL – Complete the square

Completing the square is a procedure for reformatting quadratic functions.
Quadratic Functions of the form can be rewritten as


The major reason for doing this is that it allows us to easily see the vertex of the curve which is located at the point .
The general method of completing the square can be shown like this:







Therefore the x-coordinate of the vertex is

Concerning your question if we follow the preceding procedure we have:















Therefore the coordinates of the vertex are

Hope these help!! :) :)
miranda
 
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Re: IB Math HL Completing the square

Postby Max » Sat Apr 06, 2013 7:08 pm

Thank you miranda!!
Max
 
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