document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168264>Question 168264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercepts for the graph of the equation\r<BR>\n" );
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document.write( "y = x^2 + 4x - 45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124042 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=124042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given eqn,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+4x+-+45 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+4x+-+45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember quadratic function ---><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;\" ><BR>\n" );
document.write( "To have a clearer picture of the graph,<BR>\n" );
document.write( "We first find the x-coordinate of the vertex with the formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a ALIGN=MIDDLE  ALT=\"x=-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4%2F%282%29%281%29 ALIGN=MIDDLE  ALT=\"x=-4%2F%282%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=cross%28-4%292%2Fcross%282%291 ALIGN=MIDDLE  ALT=\"x=cross%28-4%292%2Fcross%282%291\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x-coordinate of vertex<BR>\n" );
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document.write( "Then for the y-coordinate:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29=y=-2%5E2%2B4%28-2%29-45=4-8-45 ALIGN=MIDDLE  ALT=\"f%28-2%29=y=-2%5E2%2B4%28-2%29-45=4-8-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-49 ALIGN=MIDDLE  ALT=\"y=-49\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y-coordinate of vertex<BR>\n" );
document.write( "VERTEX -----> (-2,-49)<BR>\n" );
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document.write( "Now for the y-intercept: let x=0 ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=0%2B4%2A0-45=-45 ALIGN=MIDDLE  ALT=\"f%280%29=0%2B4%2A0-45=-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving or the x-intercept, via our eqn:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-45=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, factor out, perfect square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%28x-5%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%28x-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-intercepts----<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=-9%29%2Chighlight%28x=5%29%29 ALIGN=MIDDLE  ALT=\"system%28highlight%28x=-9%29%2Chighlight%28x=5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See graph below,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C8%2C-50%2C10%2Cgrid%281%29%2Cgraph%28400%2C400%2C-10%2C8%2C-50%2C10%2Cx%5E2%2B4x-45%29%2Ccircle%28-2%2C-49%2C.20%29%2Cblue%28circle%285%2C0%2C.20%29%29%2Cblue%28circle%28-9%2C0%2C.20%29%29%2Cgreen%28circle%280%2C-45%2C.20%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ----> ALL INTERCEPTS are marked: GREEN circle=y-intercept and BLUE circle=x-intercepts with BLACK circle as VERTEX (-2,-49)<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo<BR>\n" );
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