document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60702>Question 60702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to graph each function\r<BR>\n" );
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document.write( "y=x2-5x+6 (I tried to subscript the 2 but it didnt work) <BR>\n" );
document.write( "f(x)=x2+4 (I tried to subscript the 2 but it didnt work) <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 #41673 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=41673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph each function\r<BR>\n" );
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document.write( "y=x^2-5x+6 <--you can use ^ to raise something to a power.<BR>\n" );
document.write( "This is a parabola.<BR>\n" );
document.write( "Because x^2 is positive, we know it opens up.<BR>\n" );
document.write( "The y-intercept can be found by letting x=0<BR>\n" );
document.write( "y=0^2-5(0)+6<BR>\n" );
document.write( "y=0+0+6<BR>\n" );
document.write( "y=6  Plot (0,6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To find the x-intercept, let y=0<BR>\n" );
document.write( "0=x^2-5x+6<BR>\n" );
document.write( "0=(x-3)(x-2)<BR>\n" );
document.write( "x-3=0 and x-2=0<BR>\n" );
document.write( "x=3 and x=2<BR>\n" );
document.write( "Plot (3,0) and (2,0)<BR>\n" );
document.write( "The axis of symmetry and x coordinate of the vertex can be found using the formula <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=1, b=-5, and c=6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%28-5%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=-%28-5%29%2F%282%2A1%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=5%2F2 ALIGN=MIDDLE  ALT=\"x=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=2.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282.5%29%5E2-5%282.5%29%2B6 ALIGN=MIDDLE  ALT=\"y=%282.5%29%5E2-5%282.5%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=6.25-12.5+6<BR>\n" );
document.write( "y=-.25  Plot (2.5,-.25)<BR>\n" );
document.write( "You now know that it looks like this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-5x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-5x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
document.write( "f(x)=x^2+4 <BR>\n" );
document.write( "x^2 is positive, so it opens up.<BR>\n" );
document.write( "The y-intercept is:<BR>\n" );
document.write( "f(0)=0^2+4<BR>\n" );
document.write( "f(0)=4  Plot (0,4)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is no x-intercept because 0=x^2+4 has no real solution.<BR>\n" );
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document.write( "The vertex is the y intercept because there's no b.  Because you only know one point.  Plot some points on the left and right side of x=0.<BR>\n" );
document.write( "f(1)=1^2+4<BR>\n" );
document.write( "f(1)=1+4<BR>\n" );
document.write( "f(1)=5  Plot (1,5)<BR>\n" );
document.write( "f(-1)=(-1)^2+4<BR>\n" );
document.write( "f(-1)=1+4<BR>\n" );
document.write( "f(-1)=5  Plot(-1,5)<BR>\n" );
document.write( "I'll let you find and plot f(-2) and f(2).<BR>\n" );
document.write( "Connect your points and you have: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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