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) ![]() 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( " |