document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=531799>Question 531799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the parabola with a vertex (-2,3) and passing through the point (0,8). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350608 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=350608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation of the parabola with a vertex (-2,3) and passing through the point (0,8)<BR>\n" );
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document.write( "Standard form of equation for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "Using coordinates of given vertex at (-2,3)<BR>\n" );
document.write( "y=A(x+2)^2+3<BR>\n" );
document.write( "Using coordinates of given point (0,8)<BR>\n" );
document.write( "8=A(0+2)^2+3<BR>\n" );
document.write( "8=4A+3<BR>\n" );
document.write( "4A=5<BR>\n" );
document.write( "A=5/4<BR>\n" );
document.write( "Equation of parabola:<BR>\n" );
document.write( "y=(5/4)(x+2)^2+3<BR>\n" );
document.write( "See graph below as a visual check on answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285%2F4%29%28x%2B2%29%5E2%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285%2F4%29%28x%2B2%29%5E2%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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