document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014918>Question 1014918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the graph of the following quadratic functions and provide a real life example of each:<BR>\n" );
document.write( "A) a function with two real roots<BR>\n" );
document.write( "B) a function with one real root<BR>\n" );
document.write( "C) a function with two complex roots \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631490 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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/cgi-bin/show-face.mpl?user=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) a function with two real roots<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph crosses x axis twice.<BR>\n" );
document.write( "(blue line on graph below)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B) a function with one real root<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph just touches x axis once (vertex on x axis)<BR>\n" );
document.write( "(Green line on graph below)<BR>\n" );
document.write( ". <BR>\n" );
document.write( "C) a function with two complex roots <BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B4 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph does not touch or cross x axis.<BR>\n" );
document.write( "(Red line on graph below)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "GRAPH:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4%2C+x%5E2%2C+x%5E2-4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4%2C+x%5E2%2C+x%5E2-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );