document.write( "Question 135926: How do you compute the intercepts of a quadratic function? (both x and y intercepts) \n" ); document.write( "
Algebra.Com's Answer #99607 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! To find the x intercept, set y = 0 and solve for x.\r \n" ); document.write( "\n" ); document.write( "To find the y intercept, set x = 0 and solve for y.\r \n" ); document.write( "\n" ); document.write( "SAMPLE:\r \n" ); document.write( "\n" ); document.write( "Find the x and y intercepts of the function 3x^2 - y = 6\r \n" ); document.write( "\n" ); document.write( "You can find either intercept first.\r \n" ); document.write( "\n" ); document.write( "x intercept:\r \n" ); document.write( "\n" ); document.write( "Replace y with 0 and solve for x.\r \n" ); document.write( "\n" ); document.write( "3x^2 - (0) = 6\r \n" ); document.write( "\n" ); document.write( "3x^2 = 6\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 3.\r \n" ); document.write( "\n" ); document.write( "x^2 = 6/3\r \n" ); document.write( "\n" ); document.write( "x^2 = 2\r \n" ); document.write( "\n" ); document.write( "Take square root of both sides.\r \n" ); document.write( "\n" ); document.write( "x = +sqrt{2}, -sqrt{2}....Here are the two x intercepts.\r \n" ); document.write( "\n" ); document.write( "=======================================================\r \n" ); document.write( "\n" ); document.write( "y intercept:\r \n" ); document.write( "\n" ); document.write( "Replace x with 0 and solve for y.\r \n" ); document.write( "\n" ); document.write( "3x^2 - y = 6\r \n" ); document.write( "\n" ); document.write( "3(0)^2 - y = 6\r \n" ); document.write( "\n" ); document.write( "0 - y = 6\r \n" ); document.write( "\n" ); document.write( "-y = 6\r \n" ); document.write( "\n" ); document.write( "Divide both sides by -1.\r \n" ); document.write( "\n" ); document.write( "y = 6/-1\r \n" ); document.write( "\n" ); document.write( "y = -6...This is your y intercept.\r \n" ); document.write( "\n" ); document.write( "Is this clear?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |