document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22415>Question 22415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help?<BR>\n" );
document.write( "Graph the parabola, locate vertex, axis of symmetry and intercepts.\r<BR>\n" );
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document.write( "g(x) = 2x^2 - 5x - 3<BR>\n" );
document.write( "I tried:<BR>\n" );
document.write( "[2x^2 - 5x + (5/2)^2] - 3 - (5/2)^2<BR>\n" );
document.write( "(2x^2 - 5x + 25/4) - 3 - 25/4<BR>\n" );
document.write( "(2x^2 - 5x + 25/4) - 37/4<BR>\n" );
document.write( "or:<BR>\n" );
document.write( "2x^2 - 5x - 3 = 0<BR>\n" );
document.write( "divide both sides by two:<BR>\n" );
document.write( "x^2 - 5/2x - 3/2 = 0<BR>\n" );
document.write( "x^2 - 5/2x = 3/2<BR>\n" );
document.write( "x^2 - 5/2x - 25/16 = 3/2 + 25/16<BR>\n" );
document.write( "x^2 - 5/2x - 25/16 = 49/16\r<BR>\n" );
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document.write( "Can anyone help out?<BR>\n" );
document.write( "Thanks!<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10884 by </B><A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><B>MORUPHOSUOLALE(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  g(x)-- 2x^2-5x-3<BR>\n" );
document.write( "       vetex = (-b/2a), f(-b/2a)<BR>\n" );
document.write( "              -(-5/2(2)}<BR>\n" );
document.write( "                =5/4 =1.25=which is the minimum point because the parabola opens up.<BR>\n" );
document.write( "        <BR>\n" );
document.write( "       F(1.25)= 2(1.25x1.25}-5(1.25)-3<BR>\n" );
document.write( "              = 3.125 -6.25 -3<BR>\n" );
document.write( "              = -6.125\r<BR>\n" );
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document.write( "   The vetex are - {1.25, -6.125)\r<BR>\n" );
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document.write( " Axis of symmetry is whatever the value of x vetex and is (1.25)\r<BR>\n" );
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document.write( "  x intercepts can be determined by making the equation equal to zero and solve for x.<BR>\n" );
document.write( "            <BR>\n" );
document.write( "    2x^2-5x-3=0<BR>\n" );
document.write( " we can determine x intercepts by factorizing.<BR>\n" );
document.write( "      (2x+1)(x-3)=0<BR>\n" );
document.write( "     x= -1/2= -0.5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "     x= 3\r<BR>\n" );
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document.write( "Therefore x intercepts are(-0.5, 3,)\r<BR>\n" );
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document.write( "   Y intercepts can be determine by plugging 0 for x in the equation.<BR>\n" );
document.write( " that is the value of y when x equals zero.<BR>\n" );
document.write( "       2x^2-5x-3<BR>\n" );
document.write( "       2(0)(0)-5(0}-3<BR>\n" );
document.write( "  y intercepts is =  -3\r<BR>\n" );
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document.write( "For the parabola it's easy to draw  too with all above information,but my computer is not capable of drawing graph at this time,but if i can find a way i will post the graph for you,i have ben trying to figure out away to draw graph for online tutoring of this kind.<BR>\n" );
document.write( "   But with all above information you will be alright.\r<BR>\n" );
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document.write( "Moruph Osuolale<BR>\n" );
document.write( "mosuolal@uncc.edu </SPAN>\n" );
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