document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117604>Question 117604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function in vertex form that has the given vertex and passes through the given point.  Vertex (-2, -2)  Point (1, -20) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85625 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The vertex form of a parabola's equation is generally expressed as : <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28x-h%29%5E2%2Bk+ ALIGN=MIDDLE  ALT=\"y=+a%28x-h%29%5E2%2Bk+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where (h,k) is the vertex.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You are given the vertex (-2-2), so the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28x-%28-2%29%29%5E2%2B%28-2%29 ALIGN=MIDDLE  ALT=\"y=+a%28x-%28-2%29%29%5E2%2B%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B2%29%5E2-2 ALIGN=MIDDLE  ALT=\"y=a%28x%2B2%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since the parabola contains the point (1, -20), substitute these values for x and y, and then solve the equation for a:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20=a%281%2B2%29%5E2-2 ALIGN=MIDDLE  ALT=\"-20=a%281%2B2%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9a=20-2 ALIGN=MIDDLE  ALT=\"-9a=20-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-%2818%2F9%29=-2 ALIGN=MIDDLE  ALT=\"a=-%2818%2F9%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now replace a with the value determined,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B2%29%5E2-2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B2%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );