document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189678>Question 189678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me with the following problem?  \r<BR>\n" );
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document.write( " Problem :  A quadratic funtion has its vertex at the point of (0,-5).  The function passes throuhg the point (-5,2).  When written in vertex form the function is f(x)=a(x-h)^2+k. Where a = ? , h=?, and k=?\r<BR>\n" );
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document.write( "Ok, I figured out what h and k are ( h = 0 , and k = -5) but I dont know how to get a.. could someone help me.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142316 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=142316\">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=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the general vertex form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x-0%29%5E2%2B%28-5%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-0%29%5E2%2B%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=0 ALIGN=MIDDLE  ALT=\"h=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-5 ALIGN=MIDDLE  ALT=\"k=-5\"   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=f%28x%29=ax%5E2-5 ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "-------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=a%28-5%29%5E2-5 ALIGN=MIDDLE  ALT=\"2=a%28-5%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2 ALIGN=MIDDLE  ALT=\"f%28x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: since the graph passes through the point (-5,2), this means that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2 ALIGN=MIDDLE  ALT=\"f%28x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (f(x) is really \"y\")\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=a%2825%29-5 ALIGN=MIDDLE  ALT=\"2=a%2825%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square -5 to get 25\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=25a-5 ALIGN=MIDDLE  ALT=\"2=25a-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B5=25a ALIGN=MIDDLE  ALT=\"2%2B5=25a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5 to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=25a ALIGN=MIDDLE  ALT=\"7=25a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F25=a ALIGN=MIDDLE  ALT=\"7%2F25=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 25 to isolate \"a\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7%2F25 ALIGN=MIDDLE  ALT=\"a=7%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "---------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2-5 ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the previous function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%287%2F25%29x%5E2-5 ALIGN=MIDDLE  ALT=\"f%28x%29=%287%2F25%29x%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7%2F25 ALIGN=MIDDLE  ALT=\"a=7%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the function with a vertex of (0,-5) and passes through (-5,2) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%287%2F25%29x%5E2-5 ALIGN=MIDDLE  ALT=\"f%28x%29=%287%2F25%29x%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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