document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184496>Question 1184496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=(x-2)^2+3. Describe a combination of different types of transformations of f that results in the original function.<BR>\n" );
document.write( "(What does \"original function mean here?  Parent or f(x) as given?)<BR>\n" );
document.write( "This question is from Big Ideas Math Algebra 2: 2022<BR>\n" );
document.write( "Chapter 2<BR>\n" );
document.write( "Section 2.1: Transformations of Quadratic Functions<BR>\n" );
document.write( "Section 2.1: Practice (1 - 47), Question 46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815104 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^2, base or original function.<BR>\n" );
document.write( "(x-2) will shift the graph to the right 2 units.<BR>\n" );
document.write( "+3 will shift the graph upward 3 units.<BR>\n" );
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document.write( "The vertex for f(x)=(x-2)^2+3 is at (2, 3), changing the first sign and leaving the second sign as is. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );