document.write( "Question 1205492:  Write 3x^2 - 12x = 1 - y in quadratic function standard form,
\n" );
document.write( "y = mx^2 + bx + c \n" );
document.write( "
| Algebra.Com's Answer #842338 by math_tutor2020(3817)      You can put this solution on YOUR website! \n" ); document.write( "Standard form is y = ax^2 + bx + c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need to move the 1 on the right hand side to the left side. \n" ); document.write( "3x^2 - 12x = 1 - y \n" ); document.write( "3x^2 - 12x - 1 = -y \n" ); document.write( "-y = 3x^2 - 12x - 1 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then multiply everything by -1 to change the -y to y \n" ); document.write( "-y = 3x^2 - 12x - 1 \n" ); document.write( "-1(-y) = -1(3x^2 - 12x - 1) \n" ); document.write( "y = -3x^2 + 12x + 1 is the final answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The quadratic is now in standard form y = ax^2 + bx + c \n" ); document.write( "a = -3 \n" ); document.write( "b = 12 \n" ); document.write( "c = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Standard form is useful if you want to apply the quadratic formula (as one example). \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |