document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922003>Question 922003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x^2 and let g(x)=(x-3)^2 +2<BR>\n" );
document.write( "   a.) Give the formula for g in terms of f, and describe the relationship between f and g in words.<BR>\n" );
document.write( "   b.) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559316 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=559316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x^2 and let g(x)=(x-3)^2 +2<BR>\n" );
document.write( " a.) Give the formula for g in terms of f, and describe the relationship between f and g in words.<BR>\n" );
document.write( "g[f(x)] = g[x^2] = (x^2-3)^2 + 2<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Describtion: Translate f 3 units to the right and raise each point 2 units.<BR>\n" );
document.write( "-----------------------------------------------------------<BR>\n" );
document.write( " b.) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c.<BR>\n" );
document.write( "Ans: Yes, g is quadratic.<BR>\n" );
document.write( "g(x) = x^2-6x+9+2 = x^2-6x+11<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = 11<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );