document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194493>Question 194493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of a quadric function with x- intercepts (2,0) and (-7,0) and y intercept (0,5)\r<BR>\n" );
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document.write( "please i need help for this problem please i need help i have exam on Tuesday 05/07/09 so  it is urgent!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145933 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=145933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the equation has the x- intercepts (2,0) and (-7,0), this means that the roots are <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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7 ALIGN=MIDDLE  ALT=\"x=-7\"   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=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7 ALIGN=MIDDLE  ALT=\"x=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0 ALIGN=MIDDLE  ALT=\"x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7=0 ALIGN=MIDDLE  ALT=\"x%2B7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get everything to the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-2%29%28x%2B7%29=0 ALIGN=MIDDLE  ALT=\"a%28x-2%29%28x%2B7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the equations using the zero product property. Also, insert the variable \"a\" (this will be used to make the graph have a y-intercept of (0,5))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2%2B5x-14%29=0 ALIGN=MIDDLE  ALT=\"a%28x%5E2%2B5x-14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "So the general equation with the x- intercepts (2,0) and (-7,0) is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%5E2%2B5x-14%29 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B5x-14%29\"   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=a%28x%5E2%2B5x-14%29 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B5x-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2B5ax-14a ALIGN=MIDDLE  ALT=\"y=ax%5E2%2B5ax-14a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=a%2A0%5E2%2B5a%280%29-14a ALIGN=MIDDLE  ALT=\"5=a%2A0%5E2%2B5a%280%29-14a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (from the point (0,5))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=-14a ALIGN=MIDDLE  ALT=\"5=-14a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28-14%29=a ALIGN=MIDDLE  ALT=\"5%2F%28-14%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -14.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5%2F14 ALIGN=MIDDLE  ALT=\"a=-5%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce and rearrange the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2B5ax-14a ALIGN=MIDDLE  ALT=\"y=ax%5E2%2B5ax-14a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the previous equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F14%29x%5E2%2B5%28-5%2F14%29x-14%28-5%2F14%29 ALIGN=MIDDLE  ALT=\"y=-%285%2F14%29x%5E2%2B5%28-5%2F14%29x-14%28-5%2F14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5%2F14 ALIGN=MIDDLE  ALT=\"a=-5%2F14\"   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=-%285%2F14%29%2Ax%5E2-%2825%2F14%29x%2B5 ALIGN=MIDDLE  ALT=\"y=-%285%2F14%29%2Ax%5E2-%2825%2F14%29x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "So the quadratic equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F14%29%2Ax%5E2-%2825%2F14%29x%2B5 ALIGN=MIDDLE  ALT=\"y=-%285%2F14%29%2Ax%5E2-%2825%2F14%29x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here's a graph to visually confirm the answer:\r<BR>\n" );
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