document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48991>Question 48991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help. I need to state the range of the function f(x)= (x-2)^2 + 1<BR>\n" );
document.write( "I have solved it this far.....<BR>\n" );
document.write( "(x-2) (x-2) + 1\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-2x-2x+4 +1\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-4x+5 and then I equaled it to zero.<BR>\n" );
document.write( "X^2-4x + 5 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "Now, I am stuck. Am I doing it right? If I am finding the range I am trying to find Y, right? So I need to solve x so I can find y. But what if I can not go any further? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32456 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=32456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 - 4x + 5 is a parabola with a vertex of (-b/2a,f(x))<BR>\n" );
document.write( "vertex:(2,1) and the parabola opens up<BR>\n" );
document.write( "Range: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+1 ALIGN=MIDDLE  ALT=\"y+%3E=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );