document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831216>Question 831216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation for a parabola that has the same shape a y=x^2 but has an axis of symmetry of x=2 and opens downward? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501239 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the y-axis for an axis of symmetry<BR>\n" );
document.write( "because replacing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x ALIGN=MIDDLE  ALT=\"-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > will give me the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28x-2%29%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+%28x-2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the parabola shifted to the right 2 units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%28x-2%29%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+-%28x-2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the parabola turned upside down<BR>\n" );
document.write( "Here's a plot of all 3 parabolas:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+6%2C+-10%2C+10%2C+x%5E2%2C+%28x-2%29%5E2%2C+-%28x-2%29%5E2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );