document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906423>Question 906423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadratic function is given.<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++++-++x%5E2+%2B+18x+ ALIGN=MIDDLE  ALT=\"++++-++x%5E2+%2B+18x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) Express the quadratic function in standard form.<BR>\n" );
document.write( "f(x) = ____ <BR>\n" );
document.write( "(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)<BR>\n" );
document.write( "vertex...............(x, y) =	( _ , _ )<BR>\n" );
document.write( "x-intercepts......(x, y) =	( _ , _ ) (smaller value)<BR>\n" );
document.write( ".........................(x, y) =	( _ , _ ) (larger value)<BR>\n" );
document.write( "y-intercept........(x, y) =	( _ , _ ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549823 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++++-+x%5E2+%2B+18x+ ALIGN=MIDDLE  ALT=\"++++-+x%5E2+%2B+18x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) Express the quadratic function in standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > are vertex coordinates<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-x%5E2+%2B+18x ALIGN=MIDDLE  ALT=\"f%28x%29=-x%5E2+%2B+18x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-%28x%5E2+-+18x%2B____%29-___ ALIGN=MIDDLE  ALT=\"f%28x%29=-%28x%5E2+-+18x%2B____%29-___\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-%28x%5E2+-+18x%2B81%29-81 ALIGN=MIDDLE  ALT=\"f%28x%29=-%28x%5E2+-+18x%2B81%29-81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-%28x-9%29%5E2%2B81 ALIGN=MIDDLE  ALT=\"f%28x%29=-%28x-9%29%5E2%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=9 ALIGN=MIDDLE  ALT=\"h=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=81 ALIGN=MIDDLE  ALT=\"k=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)\r<BR>\n" );
document.write( "\n" );
document.write( "vertex...............(x, y) =	( 9 , 81 )<BR>\n" );
document.write( "x-intercepts......(x, y) =	( 0 , 0) (smaller value)<BR>\n" );
document.write( ".........................(x, y) =( 18 , 0 ) (larger value)<BR>\n" );
document.write( "y-intercept........(x, y) =	( 0 , 0)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+20%2C+-10%2C+100%2C+-x%5E2+%2B+18x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+20%2C+-10%2C+100%2C+-x%5E2+%2B+18x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );