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document.write( "  Start with the given equation
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document.write( "  Subtract  from both sides
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document.write( "  Factor out the leading coefficient 
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document.write( " Take half of the x coefficient  to get  (ie  ).
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document.write( " Now square to get  (ie  )
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document.write( "  Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation
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document.write( "  Now factor  to get 
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document.write( "  Distribute
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document.write( "
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document.write( "  Multiply
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document.write( "  Now add to both sides to isolate y
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document.write( "  Combine like terms
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document.write( " Now the quadratic is in vertex form  where  ,  , and  . Remember (h,k) is the vertex and \"a\" is the stretch/compression factor.
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document.write( " Check:
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document.write( " Notice if we graph the original equation  we get:
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document.write( "  Graph of . Notice how the vertex is ( , ).
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document.write( " Notice if we graph the final equation we get:
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document.write( "
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document.write( "  Graph of . Notice how the vertex is also (,).
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document.write( " So if these two equations were graphed on the same coordinate plane, one would overlap another perfectly. So this visually verifies our answer.
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document.write( " |
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
