document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091976>Question 1091976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fill in the blanks with the appropriate terms or values:<BR>\n" );
document.write( "Use this function to complete the problem y = 4x-15/x-3<BR>\n" );
document.write( "As compared to its parent function, this function is a vertical shift _______ by _______ unit(s) and a horizontal translation _______ by ______ unit(s). As compared to y=1/x, the parent function of this function is a vertical ________ by a factor of _____ as well as a reflection in the ______. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706782 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</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=706782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>I haven't seen the idea of transformations applied to the parent function 1/x; but the ideas are the same, and they work nicely.<br><BR>\n" );
document.write( "We need to get the given function<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-15%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%284x-15%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "in the form<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2F%28x-b%29%29%2Bc ALIGN=MIDDLE  ALT=\"a%281%2F%28x-b%29%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "When we have the function in that form, b will be the horizontal shift, a will be the vertical stretch (including a reflection in the x axis, if a is negative), and c will be the vertical shift.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-15%29%2F%28x-3%29+=+%284x-12%29%2F%28x-3%29+-+3%2F%28x-3%29+=+4+-+3%2F%28x-3%29+=+-3%281%2F%28x-3%29%29%2B4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the given function, compared to the parent function 1/x, has a horizontal shift 3 to the right, a vertical stretch of -3 (stretched by 3 and reflected over the x axis), and a vertical shift of 4.<br><BR>\n" );
document.write( "You should now be able to fill in the blanks in the question as you show it.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );