document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548276>Question 548276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356943 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=356943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y= a(x-h)^2 + k<BR>\n" );
document.write( "y= a(x+1)^2 + 3<BR>\n" );
document.write( "plug in coordinates of given point (-2,1) to find a<BR>\n" );
document.write( "1= a(-2+1)^2 + 3<BR>\n" );
document.write( "1= a(-1)^2 + 3<BR>\n" );
document.write( "1= a + 3<BR>\n" );
document.write( "a=-2<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y= -2(x+1)^2 + 3<BR>\n" );
document.write( "see graph below:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-2%28x%2B1%29%5E2+%2B+3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-2%28x%2B1%29%5E2+%2B+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );