document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112971>Question 112971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in algebra 2 and we are learning about \"interperetting graphs. Equations like, \"If f(x)=Xsquared the the graph of each equatrion below is a parabola. Describe the location of the parabola relative to the graph of f(x)=xsquared.... y=f(x)-3 or y=f(x-2)\" im so lost, we have a sustitute because our teacher is on meternity leave on he knows nothing about anything he is teaching. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82289 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one form of the equation for a parabola is y=a(x-h)^2+k\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is a parabola with the vertex (nose) at (h,k)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "changing the h value moves the parabola horizontally; and changing the k value moves the parabola vertically\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the a value determines the width (fat or pointy) of the parabola and the direction of the opening (up or down)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so y=x^2 is parabola with the vertex at the origin (0,0)opening upward\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y=(x-2)^2  (y=x^2-4x+4) is a parabola with the vertex at (2,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y=(x-2)^2+3  (y=x^2-4x+7) has the vertex at (2,3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );