document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800849>Question 800849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola has vertex (0,0) and focus on the y axis<BR>\n" );
document.write( "a) find the equation of the parabola if it passes through the point (4,12)\r<BR>\n" );
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document.write( "Can you please help me out, thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483295 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=483295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since your parabola has its turning point at the origin, (0,0), and focus on y axis the equation is<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+a%2Ax%5E2+%2B0+%2B0+ ALIGN=MIDDLE  ALT=\"+y+=+a%2Ax%5E2+%2B0+%2B0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I include the two zeroes in the equations to indicate that the y-intercept is zero and the axis of symmetry is at x equals zero.<BR>\n" );
document.write( "Since the parabola passes through the point (4,12) we have<BR>\n" );
document.write( "(2) 12 = a*4^2 or<BR>\n" );
document.write( "(3) 12 = 16a or<BR>\n" );
document.write( "(4) a = 12/16 or<BR>\n" );
document.write( "(5) a = 3/4<BR>\n" );
document.write( "Let's check this.<BR>\n" );
document.write( "Is (12 = 3/4*4^2)?<BR>\n" );
document.write( "Is (12 = 3/4*16)?<BR>\n" );
document.write( "Is (12 = 3*4)?<BR>\n" );
document.write( "Is (12 = 12)? Yes<BR>\n" );
document.write( "Answer: The equation of the parabola that meets the conditions stated is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x%5E2 ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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