document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146953>Question 146953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5).  The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1].  The point P(1,3) becomes T(1,3)=(1=2,3-1)=P'(3,2). Find Q' and R'.  Graph both the original triangle and its image.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107625 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The point Q(2,5) becomes T(2,5)=(2+2, 5-1) = Q'(4,4).<BR>\n" );
document.write( "The point R(6,5) becomes T(6,5)=(6+2, 5-1) =R'(8,4).\r<BR>\n" );
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document.write( "In the graph, the red triangle shows the initial position and green shows the final position.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C++%0D%0A++red%28triangle%28+1%2C+3%2C+2%2C+5%2C+6%2C+5+%29%29%2C%0D%0A++locate%28+1%2C+3%2C+P+%29%2C+locate%28+2%2C+5%2C+Q+%29%2C+locate%28+6%2C+5%2C+R+%29%2C%0D%0A++green%28triangle%28+3%2C+2%2C+4%2C+4%2C+8%2C+4+%29%29%2C+%0D%0A++locate%28+3%2C+2%2C+P1+%29%2C+locate%28+4%2C+4%2C+Q1+%29%2C+locate%28+8%2C+4%2C+R1+%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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