document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018018>Question 1018018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help sketching a graph that has two real zeros at -2 and 2 then another that has two imaginary zeros at -2i and 2i.i have no idea how to start it<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634186 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39632)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=634186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not really enough information given.  The two real zeros can be a parabola or quadratic function<BR>\n" );
document.write( "and the simplest function can simply use those two zeros for the binomial roots.\r<BR>\n" );
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document.write( "The example using the two imaginary zeros  will not cross nor touch the x-axis, and because no<BR>\n" );
document.write( "information is given to say anything about the leading coefficient, you do not have information<BR>\n" );
document.write( "about vertex as max or as min.  Pick either and as simple as possible.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2i%29%28x%2B2i%29 ALIGN=MIDDLE  ALT=\"y=%28x-2i%29%28x%2B2i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-%282i%29%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2-%282i%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-4i%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2-4i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-4%2A%28-1%29 ALIGN=MIDDLE  ALT=\"y=x%5E2-4%2A%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=x%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=x%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This as picked, opens upward, HAS NO REAL ZEROS, therefore has no x-axis intercepts, and has<BR>\n" );
document.write( "a vertex minimum at  (0,4).  Same as the graph of y=x^2 but raised upward by 4 units.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-8%2C8%2C-2%2C14%2Cx%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-8%2C8%2C-2%2C14%2Cx%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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