document.write( "Question 887546: Find local maximal or local minimal for the function -2x^2+4x-1 \n" ); document.write( "
Algebra.Com's Answer #536710 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find local maximal or local minimal for the function -2x^2+4x-1
\n" ); document.write( "

\n" );
document.write( "Since \"a\" < 0, this PARABOLA will open DOWNWARDS, and will therefore have a MAXIMA.\r
\n" );
document.write( "\n" );
document.write( "\"f%28x%29+=+-+2x%5E2+%2B+4x+-+1\"
\n" );
document.write( "The x-coordinate of the vertex (or h) will be at \"x+=+-+b%2F2a\"
\n" );
document.write( "The x-coordinate of the vertex (or h) will be at \"x+=+-+4%2F%282%2A-+2%29\", or at \"x+=+%28-+4%29%2F+-+4\", or at x = 1
\n" );
document.write( "\"f%28x%29_or_y+=+-+2%281%29%5E2+%2B+4%281%29+-+1\" ------ Substituting 1 for x 
\n" );
document.write( "f(x) or y = - 2 + 4 - 1
\n" );
document.write( "f(x) or y or k = 1  
\n" );
document.write( "Thus, the PARABOLA has a MAXIMA at (\"highlight_green%28highlight_green%281%29%29\", \"highlight_green%28highlight_green%281%29%29\") \n" );
document.write( "
\n" );