document.write( "Question 677448: Can someone please help me with this problem?\r
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document.write( "Determine if the following equation is symmetric with respect to the y-axis, x-axis, the origin, or none of these.\r
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document.write( "a. y=3x^2
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document.write( "b. x^2+4y^2=16 \n" );
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Algebra.Com's Answer #420880 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Determine if the following equation is symmetric with respect to the y-axis, x-axis, the origin, or none of these. \n" ); document.write( "a. y=3x^2 \n" ); document.write( "This is an equation of a parabola that takes the form: x^2=4py, which is a parabola that opens upwards. In such a parabola we get the same y-coordinate at x or -x which makes the graph symmetric with respect to the y axis \n" ); document.write( ".. \n" ); document.write( "b. x^2+4y^2=16 \n" ); document.write( "x^2/16+y^2/4=1 \n" ); document.write( "This is an equation of an ellipse with center at the origin (0,0) This makes the graph symmetric with respect to both the y and x axes \n" ); document.write( " |