document.write( "Question 210385: without graphing, fing the minimum value
\n" ); document.write( "f(x)=3(x+12.68)^2-sqrt22 \n" ); document.write( "

Algebra.Com's Answer #158974 by vleith(2983) $\"\"$ $\"About$

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Without graphing, to find the minimum value, you need to look at the terms and see which one(s) can change. You know that $\"sqrt%2822%29\"$ is a constant, so that one won't change. You can see that the first term $\"3%28x%2B12.68%29%5E2\"$ involves a factor of that includes a square. You know that the minimum a squared value can be is 0 (A squared value is always going to be positive or 0).\r
\n" ); document.write( "\n" ); document.write( "So the minimum value occurs when the first term is 0.
\n" ); document.write( "So what value of x makes $\"3%28x%2B12.68%29%5E2=0\"$
\n" ); document.write( " $\"x+=+-12.68\"$
\n" ); document.write( "When x = -12.68, then $\"f%28x%29+=+0+-+sqrt%2822%29+=+-sqrt%2822%29\"$ \n" ); document.write( "

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