document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251192>Question 251192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184260 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?<BR>\n" );
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document.write( "Since it's tangent, the 2 roots are the same.<BR>\n" );
document.write( "(x - a)^2 = 0<BR>\n" );
document.write( "x^2 - 2ax + a^2 = 0<BR>\n" );
document.write( "a^2 = 18<BR>\n" );
document.write( "a = +3sqrt(2)<BR>\n" );
document.write( "a = -3sqrt(2)<BR>\n" );
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document.write( "--> y = x^2 ± 6sqrt(2) + 18<BR>\n" );
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document.write( "One goes thru (2,8), the other goes thru (-2,8). </SPAN>\n" );
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