document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62196>Question 62196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am lost on this one\r<BR>\n" );
document.write( "\n" );
document.write( "Graph Y=3x^2-8x+2 and give the vertex, dpmai and range?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43265 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=43265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph Y=3x^2-8x+2 and give the vertex, domain and range?\r<BR>\n" );
document.write( "\n" );
document.write( "The y-intercept happens when x=0<BR>\n" );
document.write( "y=3(0)^2-8(0)+2<BR>\n" );
document.write( "y=0-0+2<BR>\n" );
document.write( "y=2  Plot (0,2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The quadratic equation is in standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=3, b=-8, and c=2<BR>\n" );
document.write( "Because a is positive, the parabola opens upward.<BR>\n" );
document.write( "The x coordinate of the vertex is found with the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a ALIGN=MIDDLE  ALT=\"x=-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%28-8%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x=-%28-8%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=8%2F6 ALIGN=MIDDLE  ALT=\"x=8%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=4%2F3 ALIGN=MIDDLE  ALT=\"x=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute that into the equation to find the y coordinate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%284%2F3%29%5E2-8%284%2F3%29%2B2 ALIGN=MIDDLE  ALT=\"y=3%284%2F3%29%5E2-8%284%2F3%29%2B2\"   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%2816%2F9%29-32%2F3%2B2 ALIGN=MIDDLE  ALT=\"y=3%2816%2F9%29-32%2F3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16%2F3-32%2F3%2B2 ALIGN=MIDDLE  ALT=\"y=16%2F3-32%2F3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16%2F3-32%2F3%2B6%2F3 ALIGN=MIDDLE  ALT=\"y=16%2F3-32%2F3%2B6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-10%2F3 ALIGN=MIDDLE  ALT=\"y=-10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex is (4/3,-10/3)<BR>\n" );
document.write( "The domain for all parabolas is all real numbers. {x|x=R}<BR>\n" );
document.write( "The range is from the vertex upward since it opens upward. {y|y>=-10/3}<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%2C3x%5E2-8x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C3x%5E2-8x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );