document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054626>Question 1054626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the vertex <BR>\n" );
document.write( "(h, k)<BR>\n" );
document.write( " and a point on the graph <BR>\n" );
document.write( "(x, y)<BR>\n" );
document.write( " to find the general form of the equation of the quadratic function.<BR>\n" );
document.write( "(h, k) = (&#8722;5, &#8722;1),    (x, y) = (&#8722;7, 3)<BR>\n" );
document.write( "f(x) = ________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669806 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=669806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some of the description should be changed.  Okay to let vertex be (h,k), but for some other given point on the graph, say this is some \"given\" point of something like  (p,v).  You do not want to confuse general point (x,y) with any specific point.\r<BR>\n" );
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document.write( "That now taken care of, start with Standard Form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=m%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for some real number m so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3C%3E0 ALIGN=MIDDLE  ALT=\"m%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your graph for the equation passes through some given point, (p,v).  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x-h%29%5E2=y-k ALIGN=MIDDLE  ALT=\"m%28x-h%29%5E2=y-k\"   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=m=%28y-k%29%2F%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"m=%28y-k%29%2F%28x-h%29%5E2\"   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=m=%28v-k%29%2F%28p-h%29%5E2 ALIGN=MIDDLE  ALT=\"m=%28v-k%29%2F%28p-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------Now you would \"know\" value for m.\r<BR>\n" );
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document.write( "Put everything back into the standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%28v-k%29%2F%28p-h%29%5E2%29%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=%28%28v-k%29%2F%28p-h%29%5E2%29%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Obviously this is not yet in GENERAL form, but still in fairly standard form.  Just do all the needed \"simplifications\" or multiplications and arrange into general form. </SPAN>\n" );
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