document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139103>Question 139103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola has vertex (3,-1) and an x intercept at (5,0).<BR>\n" );
document.write( "a). What is the other x intercept? I believe it to be (1,0)<BR>\n" );
document.write( "b). Find the equation of the parabola?  This is what I am having trouble figuring out.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101459 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A parabola has vertex (3,-1) and an x intercept at (5,0).<BR>\n" );
document.write( "a). What is the other x intercept? I believe it to be (1,0)<BR>\n" );
document.write( "That would be true because of symmetry.<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "b). Find the equation of the parabola?  This is what I am having trouble figuring out.<BR>\n" );
document.write( "Form: y-k = a(x-h)^2<BR>\n" );
document.write( "Vertex: h= 3, k = -1<BR>\n" );
document.write( "y+1 = a(x-3)^2<BR>\n" );
document.write( "Using point x = 1 when y = 0 you can solve for \"a\":<BR>\n" );
document.write( "1 = a(1-3)^2<BR>\n" );
document.write( "1 = a(4)<BR>\n" );
document.write( "a = 1/4 <BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y = (1/4)(x-3)^2-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29%28x-3%29%5E2-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29%28x-3%29%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );