document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158891>Question 158891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help,\r<BR>\n" );
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document.write( "Find if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+=+4x%5E2-3x+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+4x%5E2-3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is symmetrical to<BR>\n" );
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document.write( "y-axis?<BR>\n" );
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document.write( "x-axis?<BR>\n" );
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document.write( "origin?<BR>\n" );
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document.write( "Thanks ahead of time,Levi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117035 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Find+if+%7B%7B%7B+y%5E2+=+4x%5E2-3x+ ALIGN=MIDDLE  ALT=\"+Find+if+%7B%7B%7B+y%5E2+=+4x%5E2-3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is symmetrical to<BR>\n" );
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document.write( "y-axis?<BR>\n" );
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document.write( "x-axis?<BR>\n" );
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document.write( "origin?<BR>\n" );
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document.write( "Thanks ahead of time,Levi}}} is symmetrical to<BR>\n" );
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document.write( "y-axis?<BR>\n" );
document.write( "It is symmetric to the y-axis if f(x) = f(-x)<BR>\n" );
document.write( "Substitute -x for x to get:<BR>\n" );
document.write( "y^2 = 4(-x)^2 -3(-x) = 4x^2+3x<BR>\n" );
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document.write( "They are not the same so there is no y-axis symmetry.<BR>\n" );
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document.write( "x-axis?<BR>\n" );
document.write( "Test by substituting -y for y:<BR>\n" );
document.write( "(-y)^2 = 4x^2-3x<BR>\n" );
document.write( "y^2 = 4x^2 - 3x<BR>\n" );
document.write( "So you have x-axis symmetry<BR>\n" );
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document.write( "origin?<BR>\n" );
document.write( "y^2 = 4x^2-3x <BR>\n" );
document.write( "Slubstitute -y for y and -x for x  to get:<BR>\n" );
document.write( "(-y)^2 = 4(-x)^2 -3*(-x)<BR>\n" );
document.write( "y^2 = 4x^2 + 3x<BR>\n" );
document.write( "They are not equal so no origin symmetry.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Thanks ahead of time,Levi </SPAN>\n" );
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