document.write( "Question 281216: How do I write x^2-16x+56=0 in vertex form? And, how do I identify the vertex? \n" ); document.write( "
Algebra.Com's Answer #204284 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do I write x^2-16x+56 = y in vertex form? And, how do I identify the vertex?
\n" ); document.write( "-----------------------------------
\n" ); document.write( "x^2-16x + ? = y -56 + ?
\n" ); document.write( "-----------------------------------
\n" ); document.write( "x^2-16x + 64 = y-56+64
\n" ); document.write( "(x-8)^2 = y+8
\n" ); document.write( "--------------------
\n" ); document.write( "Vertex at (8,-8)
\n" ); document.write( "========================
\n" ); document.write( "Another Method:
\n" ); document.write( "y = x^2-16x+56
\n" ); document.write( "a = 1 ; b = -16
\n" ); document.write( "The vertex occurs where x = -b/2a = 16/-1 = 8
\n" ); document.write( "f(8) = 8^2 -16*8 + 56 = -8
\n" ); document.write( "=================================
\n" ); document.write( "Notice the answers are the same.
\n" ); document.write( "=================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );