document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198500>Question 198500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y=x^2-2x-1<BR>\n" );
document.write( "Y=-3x+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149068 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=149068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "Given:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28Y=x%5E2-2x-1%28red%28EQN1%29%29%2CY=-3x%2B5%28red%28EQN2%29%29%29 ALIGN=MIDDLE  ALT=\"system%28Y=x%5E2-2x-1%28red%28EQN1%29%29%2CY=-3x%2B5%28red%28EQN2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28EQN1%29 ALIGN=MIDDLE  ALT=\"red%28EQN1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it's a parabola and follows the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2%2BBx%2BC=0 ALIGN=MIDDLE  ALT=\"Ax%5E2%2BBx%2BC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For the Vertex, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a=-%28-2%29%2F%282%2A1%29=2%2F2=red%281%29 ALIGN=MIDDLE  ALT=\"x=-b%2F2a=-%28-2%29%2F%282%2A1%29=2%2F2=red%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "Substitute to the Eqn to  Y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=1%5E2-2%281%29-1=1-2-1=red%28-2%29 ALIGN=MIDDLE  ALT=\"Y=1%5E2-2%281%29-1=1-2-1=red%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The Vertex ----> <font color=red>(1,-2)</font>\r<BR>\n" );
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document.write( "We solve the eqn to find the x-Intercepts:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-1=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For the Discriminant: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=-2%5E2-4%281%29%28-1%29=4%2B4=8 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=-2%5E2-4%281%29%28-1%29=4%2B4=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-%28-2%29%2B-sqrt%288%29%29%2F%282%2A1%29=%282%2B-2.83%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-%28-2%29%2B-sqrt%288%29%29%2F%282%2A1%29=%282%2B-2.83%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282%2B2.83%29%2F2=4.83%2F2=red%282.415%29 ALIGN=MIDDLE  ALT=\"x=%282%2B2.83%29%2F2=4.83%2F2=red%282.415%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=%282-2.83%29%2F2=-.83%2F2=red%28-0.415%29 ALIGN=MIDDLE  ALT=\"x=%282-2.83%29%2F2=-.83%2F2=red%28-0.415%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We see the graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C5%29%2Cblue%28circle%282.415%2C0%2C.12%29%29%2Cblue%28circle%28-.415%2C0%2C.12%29%29%2Cred%28circle%281%2C-2%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-2x-1%29%2Cblue%28circle%282.415%2C0%2C.12%29%29%2Cblue%28circle%28-.415%2C0%2C.12%29%29%2Cred%28circle%281%2C-2%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28EQN2%29 ALIGN=MIDDLE  ALT=\"red%28EQN2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is a Line with  the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy%2BC=0 ALIGN=MIDDLE  ALT=\"Ax%2BBy%2BC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-3x%2B5 ALIGN=MIDDLE  ALT=\"Y=-3x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let Fy=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-3x%2B5 ALIGN=MIDDLE  ALT=\"0=-3x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=5 ALIGN=MIDDLE  ALT=\"3x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%283%29x%2Fcross%283%29=5%2F3 ALIGN=MIDDLE  ALT=\"cross%283%29x%2Fcross%283%29=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x=5%2F3%29 ALIGN=MIDDLE  ALT=\"red%28x=5%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x-Intercept (5/3,0) = (1.67,0)\r<BR>\n" );
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document.write( "Let Fx=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3%280%29%2B5 ALIGN=MIDDLE  ALT=\"y=-3%280%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=5%29 ALIGN=MIDDLE  ALT=\"red%28y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y-Intercept (0,5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C10%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C10%29%2Cblue%28circle%285%2F3%2C0%2C.12%29%29%2Cblue%28circle%280%2C5%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C10%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C10%2C-3x%2B5%29%2Cblue%28circle%285%2F3%2C0%2C.12%29%29%2Cblue%28circle%280%2C5%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font><BR>\n" );
document.write( " </SPAN>\n" );
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