document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468084>Question 468084</A>: <I><SPAN STYLE=\"word-break: break-all;\">        A lab designed radio telescope with diaeter of 320 ft & maximum depth of 42 ft Find the equation of the parabola and graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321275 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=321275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lab designed radio telescope with diameter of 320 ft & maximum depth of 42 ft Find the equation of the parabola and graph.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Standard form for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "Given radio telescope is a parabola that opens upwards.<BR>\n" );
document.write( "Draw a diagram with the left side of the parabola at the origin, (0,0) and the right side at (320,0)  Coordinates of the vertex are at (160,-42). This also gives the parabola an axis of symmetry at x=160.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=A(x-h)^2+k<BR>\n" );
document.write( "using (x,y) coordinates of one point (0,0) on the curve and (x,y) coordinates of the vertex:<BR>\n" );
document.write( "0=A(0-160)^2-42<BR>\n" );
document.write( "A=42/(-160)^2=42/25600=.0016<BR>\n" );
document.write( "Equation of parabola: <BR>\n" );
document.write( "y=.0016(x-160)^2-42<BR>\n" );
document.write( "See graph below:<BR>\n" );
document.write( "..\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-20%2C+400%2C+-400%2C+20%2C.0016%28x-160%29%5E2-42%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-20%2C+400%2C+-400%2C+20%2C.0016%28x-160%29%5E2-42%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );