document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64292>Question 64292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.) If g(x)= 2-2x^2/3x^3+10x+3, find g(o)\r<BR>\n" );
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document.write( "2. If f(x)=-3x+5 then f(x+h)-f(x)/h = ?\r<BR>\n" );
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document.write( "3. If y=3x^2-6x+5, determine the vertex and the parabola\r<BR>\n" );
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document.write( "4. Find the midpoint between the two points (8,6) and (4,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44937 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=44937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure where your fractions begin and end without parentheses.  If I misinterpretted your questions, let me know.<BR>\n" );
document.write( "1.) If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%282-2x%5E2%29%2F%283x%5E3%2B10x%2B3%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%282-2x%5E2%29%2F%283x%5E3%2B10x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find g(o)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=%282-2%280%29%5E2%29%2F%283%280%29%5E3%2B10%280%29%2B3%29 ALIGN=MIDDLE  ALT=\"g%280%29=%282-2%280%29%5E2%29%2F%283%280%29%5E3%2B10%280%29%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=%282-0%29%2F%280%2B0%2B3%29 ALIGN=MIDDLE  ALT=\"g%280%29=%282-0%29%2F%280%2B0%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%280%29=2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28g%280%29=2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "2. If f(x)=-3x+5 then (f(x+h)-f(x))/h = ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-3%28x%2Bh%29%2B5%29-%28-3x%2B5%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%28-3%28x%2Bh%29%2B5%29-%28-3x%2B5%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x-3h%2B5%2B3x-5%29%2Fh ALIGN=MIDDLE  ALT=\"%28-3x-3h%2B5%2B3x-5%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%2B3x-3h%2B5-5%29%2Fh ALIGN=MIDDLE  ALT=\"%28-3x%2B3x-3h%2B5-5%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280-3h%2B0%29%2Fh ALIGN=MIDDLE  ALT=\"%280-3h%2B0%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3h%2Fh ALIGN=MIDDLE  ALT=\"-3h%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3%29 ALIGN=MIDDLE  ALT=\"highlight%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "3. If y=3x^2-6x+5, determine the vertex and the parabola<BR>\n" );
document.write( "There are two ways to do this, if your class is putting the equation in vertex  form to do this, let me know and I'll redo this.<BR>\n" );
document.write( "When a quadratic equation is in this form I use this formula to find the x value of the vertex. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-b%2F2a%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=3, b=-6 and c=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%28-6%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x=-%28-6%29%2F%282%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%2F6 ALIGN=MIDDLE  ALT=\"x=6%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now plug that in for x in the equation to find y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%281%29%5E2-6%281%29%2B5 ALIGN=MIDDLE  ALT=\"y=3%281%29%5E2-6%281%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3-6%2B5 ALIGN=MIDDLE  ALT=\"y=3-6%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex is (1,2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4. Find the midpoint between the two points (8,6) and (4,8)<BR>\n" );
document.write( "The midpoint formula is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x1%2Bx2%29%2F2 ALIGN=MIDDLE  ALT=\"%28x1%2Bx2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y1%2By2%29%2F2 ALIGN=MIDDLE  ALT=\"%28y1%2By2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "(x1,y1)=(8,6) and (x2,y2)=(4,8)<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B4%29%2F2 ALIGN=MIDDLE  ALT=\"%288%2B4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2B8%29%2F2 ALIGN=MIDDLE  ALT=\"%286%2B8%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "(12/2,14/2)<BR>\n" );
document.write( "(6,7)<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );