document.write( "Question 839626: A quadratic formula satisfies f(x) bigger than or equal to 0 for all x . If f(1)=0 , f(3)=3, then find f(5) \n" ); document.write( "

Algebra.Com's Answer #505766 by Fombitz(32388) $\"\"$ $\"About$

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Since f(1)=0, the vertex occurs at x=1.
\n" ); document.write( " $\"f%28x%29=a%28x-1%29%5E2\"$
\n" ); document.write( " $\"f%283%29=a%283-1%29%5E2=3\"$
\n" ); document.write( " $\"4a=3\"$
\n" ); document.write( " $\"a=3%2F4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"f%28x%29=%283%2F4%29%28x-1%29%5E2\"$
\n" ); document.write( " $\"f%285%29=%283%2F4%29%285-1%29%5E2\"$
\n" ); document.write( " $\"f%285%29=%283%2F4%29%284%29%5E2\"$
\n" ); document.write( " $\"highlight%28f%285%29=12%29\"$
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