document.write( "Question 951048: graphs of quadratic functions f ( x ) has a minimum point and intersects the x-axis at 4 and m . If the symmetry axis of the graph is x = 5 , the value of m and the next state function f ( x ) \n" ); document.write( "

Algebra.Com's Answer #580739 by Fombitz(32388) $\"\"$ $\"About$

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From symmetry,
\n" ); document.write( " $\"m-5=5-4\"$
\n" ); document.write( " $\"m=6\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"f%28x%29=a%28x-5%29%5E2%2Bb\"$
\n" ); document.write( " $\"f%284%29=a%284-5%29%5E2%2Bb=0\"$
\n" ); document.write( " $\"a%2Bb=0\"$
\n" ); document.write( " $\"f%286%29=a%286-5%29%5E2%2Bb=0\"$
\n" ); document.write( " $\"a%2Bb=0\"$
\n" ); document.write( " $\"b=-a\"$
\n" ); document.write( "Since it has a minimum then $\"a%3E0\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"f%28x%29=a%28x-5%29%5E2-a\"$
\n" ); document.write( "where $\"a\"$ is a non-zero constant.\r
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