document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106825>Question 1106825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out how to do this problem, but I am dyslexic and can't do it on my own. Can you help? \r<BR>\n" );
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document.write( "f(x)=x^2+2\r<BR>\n" );
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document.write( " in the book, our goal is to find the domain of these functions. <BR>\n" );
document.write( "Take your time.\r<BR>\n" );
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document.write( "-Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721814 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the form ax^2+bx+c, to find the values of a, b, and c:<BR>\n" );
document.write( "a=1,b=0,c=2 (the problem tells you this)<BR>\n" );
document.write( "Now the vertex form of a parabola:<BR>\n" );
document.write( "a(x+d)^(2)+e<BR>\n" );
document.write( "Find the value of d: <BR>\n" );
document.write( "d= b/2a; d = 0/2*1; d = 0<BR>\n" );
document.write( "Find the value of e:<BR>\n" );
document.write( "e = c-(b^2/4a; e = 2-(0^2/(4*1); e = 2-0/4 = 2<BR>\n" );
document.write( "The vertex form:<BR>\n" );
document.write( "a(x+d)^(2)+e In order to plot this we need an equation (we need two mathematical expressions that are equal = ):<BR>\n" );
document.write( "y = a(x+d)^(2)+e Since the value of a is 1 (we only have 1 x) we can rewrite:<BR>\n" );
document.write( "y = (x+d)^(2)+e <BR>\n" );
document.write( "Let's plug in the values I just calculated into this equation:<BR>\n" );
document.write( "y = (x+0)^(2)+2<BR>\n" );
document.write( "There are some other values we need to find, these are easy because I just did all the work:<BR>\n" );
document.write( "In the vertex form y = a(x-h)^(2)+k find the value of a, h, and k<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "h = 0<BR>\n" );
document.write( "k = 2<BR>\n" );
document.write( "Since the value of a is positive, our parabola opens up<BR>\n" );
document.write( "The vertex (h, k) is (0, 2), so this is where the parabola starts, and goes up to infinity. We write this as <BR>\n" );
document.write( "[2, &#8734;)<BR>\n" );
document.write( "{y|y&#8805;2}<BR>\n" );
document.write( "Domain: (&#8722;&#8734;,&#8734;),{x|x&#8712;R} for any integer n<BR>\n" );
document.write( "range: [2,&#8734;),{y|y&#8805;2}<BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=addingup&illustration_name=parabola.JPG\"><BR>\n" );
document.write( " </SPAN>\n" );
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