document.write( "Question 189971: Use the Completing the Square method to find the vertex form of the quadratic function y = x^2 + 7x + 12. \n" ); document.write( "
Algebra.Com's Answer #142547 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Vertex form is: \n" ); document.write( "y= a(x-h)^2+k \n" ); document.write( ". \n" ); document.write( "y = x^2 + 7x + 12 \n" ); document.write( "y = (x^2 + 7x + __ ) + 12 - __ \n" ); document.write( ". \n" ); document.write( "Fill the blank with 1/2 of 'b' coefficient squared: \n" ); document.write( "((1/2)(7))^2 = (7/2)^2 = 49/4 \n" ); document.write( ". \n" ); document.write( "y = (x^2 + 7x + 49/4 ) + 12 - 49/4 \n" ); document.write( "y = (x^2 + 7x + 49/4 ) + 48/4 - 49/4 \n" ); document.write( "y = (x^2 + 7x + 49/4 ) - 1/4 \n" ); document.write( "y = (x + 7/2)^2 - 1/4 (this is what they're looking for) \n" ); document.write( " \n" ); document.write( " |