document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048919>Question 1048919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the parabola whose equation is&#8203; given, determine whether it opens upward or&#8203; downward, find the&#8203; vertex, and find the&#8203; x- and&#8203; y-intercepts.  Then graph the parabola.<BR>\n" );
document.write( "&#8203;f(x)=x squared minus 2 x minus 48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664465 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=664465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  For the parabola whose equation is&#8203; given, determine whether it opens upward or&#8203; downward, find the&#8203; vertex, and find the&#8203; x- and&#8203; y-intercepts. Then graph the parabola.<BR>\n" );
document.write( "&#8203;f(x)=x squared minus 2 x minus 48 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(x) = x^2 - 2x - 48<BR>\n" );
document.write( "a = 1 ; b = -2 ; c = -48<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "opens upward because a is positive<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Vertex::<BR>\n" );
document.write( "x = -b/(2a) = 2/2 = 1 ; f(1) = 1^2-2*1-48 = -49<BR>\n" );
document.write( "Vertex is (1,-49)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "x-intercept:: <BR>\n" );
document.write( "Let y = 0 ; solve for \"x\"::<BR>\n" );
document.write( "x^2-2x-48 = 0<BR>\n" );
document.write( "(x-8)(x+6) = 0<BR>\n" );
document.write( "x-intercepts:: x = 8 ; x = -6<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "y-intercept::<BR>\n" );
document.write( "Let x = 0 ; solve for \"y\"::<BR>\n" );
document.write( "y = 0^2 - 2*0 - 48<BR>\n" );
document.write( "y = -48<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Graph::<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-20%2C20%2C-60%2C60%2Cx%5E2+-+2x+-+48%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-20%2C20%2C-60%2C60%2Cx%5E2+-+2x+-+48%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" );
document.write( "------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );