document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296774>Question 296774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the graph of f(x)=sqrt(x) to sketch the graph of:<BR>\n" );
document.write( "a. y=f(x-1)<BR>\n" );
document.write( "b. y=-f(x)+3<BR>\n" );
document.write( "Is there a formula I can use to come up with the solution? I would show my work, but I seriously don't even know what the first step is and I can't find a lesson or graph solver on this site to help me out. Any help is appreciated- even if it's just a reference to another site that explains what to do with this problem! Thanks! :D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213805 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the graph of <BR>\n" );
document.write( "f(x)=sqrt(x) to sketch the graph of:<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Graph of f(x) = sqrt(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C20%2C-5%2C10%2Cx%5E%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C20%2C-5%2C10%2Cx%5E%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------<BR>\n" );
document.write( "a. y=f(x-1)<BR>\n" );
document.write( "Moves every point of the graph 1 unit to the right.<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "Graph of f(x) = sqrt(x-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C20%2C-5%2C10%2C%28x-1%29%5E%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C20%2C-5%2C10%2C%28x-1%29%5E%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "b. y=-f(x)+3<BR>\n" );
document.write( "The negative reflects f(x)=sqrt(x) in the x axis.<BR>\n" );
document.write( "The 3 translates every point of f(x)= -sqrt(x) 3 units up.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The resulting graph is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C20%2C-10%2C20%2C-x%5E%281%2F2%29%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C20%2C-10%2C20%2C-x%5E%281%2F2%29%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );