document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636143>Question 636143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a parabola that as a vertical axis and passes through the origin, (3,-2), and (-2,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400787 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=400787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a parabola that as a vertical axis and passes through the origin, (3,-2), and (-2,2).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of parabola with vertical axis of symmetry: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex.<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "h=0<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "y=Ax^2+k<BR>\n" );
document.write( "use given coordinates, (3,-2) and (-2,2), to solve for A and k<BR>\n" );
document.write( "..<BR>\n" );
document.write( "-2=3^2A+k<BR>\n" );
document.write( "2=(-2)^2A+k<BR>\n" );
document.write( "..<BR>\n" );
document.write( "-2=9A+k<BR>\n" );
document.write( "  2=4A+k<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "5A=-4<BR>\n" );
document.write( "A=-4/5<BR>\n" );
document.write( "k=2-4A<BR>\n" );
document.write( "=2-4*-4/5<BR>\n" );
document.write( "=2+16/5<BR>\n" );
document.write( "=10/5+16/5<BR>\n" );
document.write( "=26/5<BR>\n" );
document.write( "equation: y=-4x^2/5+26/5 </SPAN>\n" );
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