document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261422>Question 261422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maybe I'm thinking too hard. This seems easy enough but the more I think about it, the more I think I'm wrong. The question is:\r<BR>\n" );
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document.write( "'Find the equation of a quadratic function with a vertex at the point (-1,-5) that also contains the point (1,3).'\r<BR>\n" );
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document.write( "My answer is (x+1)^2-5\r<BR>\n" );
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document.write( "Am I right or at least close? I don't recall doing a problem like this is class and I haven't found one like it in my textbooks. Thanks for the help guys! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192595 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=192595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unfortunately, that is not correct. Why? Since the quadratic goes through the point (1,3), this means that when x=1 then y=3. Plugging in x=1 gets us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2B1%29%5E2-5=2%5E2-5=4-5=-1 ALIGN=MIDDLE  ALT=\"y=%281%2B1%29%5E2-5=2%5E2-5=4-5=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is not what we're looking for.\r<BR>\n" );
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document.write( "What you need to do is set up the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B1%29%5E2-5 ALIGN=MIDDLE  ALT=\"y=a%28x%2B1%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, plug in the values x=1 and y=3 and solve for 'a'.\r<BR>\n" );
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document.write( "Your answer should be <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;\" > which means that the equation of the quadratic is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%28x%2B1%29%5E2-5 ALIGN=MIDDLE  ALT=\"y=2%28x%2B1%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Let me know if you need help getting to that answer. </SPAN>\n" );
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