Summary Statement on Graphing Sine and Cosine Functions

<BODY LANG="EN" > <HR><center> <table border=1> <td><A HREF="node50.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node44.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node52.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node51.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR> <H2>Summary Statement on Graphing Sine and Cosine Functions</H2> <P> We now have seen four ways to alter the graph of a sine or cosine function: vertical translation, vertical scaling, horizontal translation, and horizontal scaling. Note that some or all four of these can be applied to a function at once in the sense that you may have to deal with a function of the form <IMG WIDTH=167 HEIGHT=23 ALIGN=ABSMIDDLE ALT="y = B + A sin(Dx - C)" SRC="img148.gif"> or <IMG WIDTH=169 HEIGHT=23 ALIGN=ABSMIDDLE ALT="y = B + A cos(Dx - C)" SRC="img149.gif">. You should simply work these graphs out one step at a time, concerning yourself first with the affect of <I>C</I> and <I>D</I>, then the affect of the presence of <I>A</I>, and finally the affect of <I>B</I> on this problem. <P> An example is in order here to close out this lengthy discussion on graphing sine and cosine functions. <P> <HR><center> <table border=1> <td><A HREF="node50.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node44.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node52.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node51.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR><P><ADDRESS> <I><A HREF="http://www.math.psu.edu/sellersj/">James A. Sellers</A> </I> </ADDRESS> </BODY>