document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061430>Question 1061430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help i got my portfolio to be handed in tomorrow by 2pm and I missed a class on parabolas i need to find the x intercept and y intercept, can someone please help me?  f(x) = 4x^2 + 4x + 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676208 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+4x%5E2+%2B+4x+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+4x%5E2+%2B+4x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You find the y-intercept by making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+f%280%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+f%280%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+4%2A0%5E2+%2B+4%2A0+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+4%2A0%5E2+%2B+4%2A0+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+6+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The y-intercept is at ( 0, 6 )<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "You find the x-intercepts by making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+0+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+4x%5E2+%2B+4x+%2B+6+ ALIGN=MIDDLE  ALT=\"+0+=+4x%5E2+%2B+4x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+2x%5E2+%2B+2x+%2B+3+ ALIGN=MIDDLE  ALT=\"+0+=+2x%5E2+%2B+2x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "when the form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2+ ALIGN=MIDDLE  ALT=\"+a+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+3+ ALIGN=MIDDLE  ALT=\"+c+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-2+%2B-+sqrt%28+2%5E2+-+4%2A2%2A3+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-2+%2B-+sqrt%28+2%5E2+-+4%2A2%2A3+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-2+%2B-+sqrt%28+4+-+24+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-2+%2B-+sqrt%28+4+-+24+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-2+%2B-+sqrt%28+-20+%29+%29%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-2+%2B-+sqrt%28+-20+%29+%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-2+%2B+2%2Asqrt%285%29%2Ai+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-2+%2B+2%2Asqrt%285%29%2Ai+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1%2F2+%2B+%28+sqrt%285%29%2F2+%29%2Ai+ ALIGN=MIDDLE  ALT=\"+x+=+-1%2F2+%2B+%28+sqrt%285%29%2F2+%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1%2F2+-+%28+sqrt%285%29%2F2+%29%2Ai+ ALIGN=MIDDLE  ALT=\"+x+=+-1%2F2+-+%28+sqrt%285%29%2F2+%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "The roots in this case are a pair<BR>\n" );
document.write( "of imaginaries called a complex conjugate pair.<BR>\n" );
document.write( "There are no actual intersections with the x-axis.<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "Here's the plot so you can see the y-intercept,<BR>\n" );
document.write( "and the fact that there is no intersection with x-axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+500%2C+-5%2C+5%2C+-2%2C+15%2C+4x%5E2+%2B+4x+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+500%2C+-5%2C+5%2C+-2%2C+15%2C+4x%5E2+%2B+4x+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );