document.write( "Question 677448: Can someone please help me with this problem?\r
\n" ); document.write( "\n" ); document.write( "Determine if the following equation is symmetric with respect to the y-axis, x-axis, the origin, or none of these.\r
\n" ); document.write( "\n" ); document.write( "a. y=3x^2
\n" ); document.write( "b. x^2+4y^2=16
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Algebra.Com's Answer #420880 by lwsshak3(11628)\"\" \"About 
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
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\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
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