document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138847>Question 138847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM:<BR>\n" );
document.write( "GIVEN THE FUNCTION DEFINED BY: f(x)=x^2-6x+12<BR>\n" );
document.write( "A) IDENTIFY THE VERTEX OF THE PARABOLA.<BR>\n" );
document.write( "B)DOES THIS PARABOLA OPEN UP OR DOWN?<BR>\n" );
document.write( "C)DOES THE VERTEX REPRESENT THE MAXIMUM OR MINIMUM POINT OF THE FUNCTION?<BR>\n" );
document.write( "D)WHAT IS THE MAXIMUM OF MINIMUM VALUE OF THE FUNCTION f?<BR>\n" );
document.write( "E) WHAT IS THE AXIS OF SYMMETRY FOR THIS PARABOLA?<BR>\n" );
document.write( "   *** IN THIS PROBLEM I HAVE NO UNDERSTANDING OF ANY OF THIS.. I TRIED LOOKING IN THE BOOK FOR A SOLUTION,BUT STILL NO LUCK.. PLEASE HELP???!!<BR>\n" );
document.write( "THANKS, lj23kfuller@yahoo.com\r<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 #101321 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> GIVEN THE FUNCTION DEFINED BY: f(x)=x^2-6x+12<BR>\n" );
document.write( "A) IDENTIFY THE VERTEX OF THE PARABOLA.<BR>\n" );
document.write( "You have a quadratic with a=1 , b=-6, and c = 12<BR>\n" );
document.write( "The vertex occurs where x = -b/2a = 6/2 = 3<BR>\n" );
document.write( "The corresponding y-value is f(3) = 9-18+12 = 3<BR>\n" );
document.write( "The vertex is (3,3)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "B)DOES THIS PARABOLA OPEN UP OR DOWN?<BR>\n" );
document.write( "Since the coefficient of the x^2 term is positive, the parabola<BR>\n" );
document.write( "opens upward.<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "C)DOES THE VERTEX REPRESENT THE MAXIMUM OR MINIMUM POINT OF THE FUNCTION?<BR>\n" );
document.write( "Because of what is said in part B, the vertex is a minimum point.<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "D)WHAT IS THE MAXIMUM OF MINIMUM VALUE OF THE FUNCTION f?<BR>\n" );
document.write( "There is no maximum f value; the minimum value is 3 which occurs where x=3.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "E) WHAT IS THE AXIS OF SYMMETRY FOR THIS PARABOLA?<BR>\n" );
document.write( "The axis of symmetry is the vertical line thru the vertex, or x = 3.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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