document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139249>Question 1139249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7.\r<BR>\n" );
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document.write( "Horizontal shift________<BR>\n" );
document.write( "Reflections_________<BR>\n" );
document.write( "Vertical shift_________<BR>\n" );
document.write( "Stretch/shrink____________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #757040 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=757040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I will presume you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28x-3%29%2B7 ALIGN=MIDDLE  ALT=\"-sqrt%28x-3%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It's more interesting than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28x-3%2B7%29+=+-sqrt%28x%2B4%29 ALIGN=MIDDLE  ALT=\"-sqrt%28x-3%2B7%29+=+-sqrt%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Even (especially?) when writing the expression in words, appropriate use of parentheses is important.<br><BR>\n" );
document.write( "Replacing x with x-3 produces a horizontal shift of +3.  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=0 ALIGN=MIDDLE  ALT=\"sqrt%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when x=0; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-3%29=0 ALIGN=MIDDLE  ALT=\"sqrt%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when x=3).<br><BR>\n" );
document.write( "ANSWER A: Horizontal shift: +3<br><BR>\n" );
document.write( "Replacing the square root with -square root reflects the graph over the x-axis; there is no vertical stretch.<br><BR>\n" );
document.write( "ANSWER B: Reflections: x-axis<br><BR>\n" );
document.write( "The +7 at the end of the expression produces a vertical shift of +7.<br><BR>\n" );
document.write( "ANSWER C: Vertical shift: +7<br><BR>\n" );
document.write( "For stretch/shrink, I will guess you mean horizontally.  There is no horizontal stretch or shrink; that would happen if, for example, x were replaced with 3x, or with x/4.<br><BR>\n" );
document.write( "ANSWER D: (horizontal) stretch/shrink: none </SPAN>\n" );
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