document.write( "Question 432360: How do I identify an equation if it is a circle, parabola, ellipse, or hyperbola? \n" ); document.write( "
Algebra.Com's Answer #299791 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! If the equation has both x^2 and y^2 terms with EQUAL coefficients, then it is probably a CIRCLE.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the equation has both x^2 and y^2 terms with UNEQUAL coefficients but with the same SIGN, then it is probably an ELLIPSE.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the equation has both x^2 and y^2 terms with OPPOSITE signs, then it is probably a HYPERBOLA.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the equation has an x^2 term but NO y^2 term, or a y^2 term but NO x^2 term, then it probably a PARABOLA.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I say \"probably\", because there under certain other conditions, there may be exceptions in which the graph is a point or no solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |