document.write( "Question 317553: Can I have help finding the vortex, line of symmetry, maximum/minimum and if the graph opens up or down for the quadratic equation:
\n" ); document.write( "f(x)= 3x^2-6x+6 \n" ); document.write( "

Algebra.Com's Answer #227417 by Fombitz(32388) $\"\"$ $\"About$

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Convert to vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ by completing ths square.
\n" ); document.write( "(h,k) is then the vertex.
\n" ); document.write( " $\"f%28x%29=3%28x%5E2-2x%29%2B6\"$
\n" ); document.write( " $\"f%28x%29=3%28x%5E2-2x%2B1%29%2B6-3\"$
\n" ); document.write( " $\"f%28x%29=3%28x-1%29%5E2%2B3\"$
\n" ); document.write( "The vertex is ( $\"1\"$ , $\"3\"$ ).
\n" ); document.write( "The axis of symmetry contains the vertex and is $\"x=1\"$ .
\n" ); document.write( "The coefficient of $\"x%5E2\"$ term is positive so the parabola opens upwards and the vertex value is the minimum value.
\n" ); document.write( " $\"fmin=3\"$
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