document.write( "Question 1042680: Hi, I'm having a really difficult time understanding how to convert a Quadratic from Standard form to Vertex form. I've watched videos and have read multiple websites explaining it but either the videos are too fast, or the lesson is too confusing. I was wondering if there would be any way you could explain the steps in converting standard form to vertex form as simple as possible? Thank you so so much!! \n" ); document.write( "
Algebra.Com's Answer #657704 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! explain the steps in converting standard form to vertex form \n" ); document.write( "======= \n" ); document.write( "y = ax^2 + bx + c \n" ); document.write( "----- \n" ); document.write( "Factor out \"a\" to get:: \n" ); document.write( "y = a(x^2 + (b/a)x) + ? + c \n" ); document.write( "------- \n" ); document.write( "Complete the square and maintain the equality of the sides:: \n" ); document.write( "y = a(x^2 + (b/a)x + (b/2a)^2) + c - a(b/2a)^2 \n" ); document.write( "------ \n" ); document.write( "Factor to get:: \n" ); document.write( "y = a(x+(b/2a))^2 + c - (b^2/4a) \n" ); document.write( "----------------------- \n" ); document.write( "Simply:: \n" ); document.write( "y = a(x+(b/2a))^2 + [4ac-b^2]/(4a) \n" ); document.write( "------------------------ \n" ); document.write( "Rearrange:: \n" ); document.write( "y = a(x+(b/2a))^2 - [b^2-4ac]/(4a) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |