document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181668>Question 181668</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078279992/algebrahomeworkh>Algebra 2 </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex<BR>\n" );
document.write( "b)make a table of values that includes the vertex<BR>\n" );
document.write( "c)use this information to graph the function\r<BR>\n" );
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document.write( "18) f(x)=x^2+2x+1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136321 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=136321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex<BR>\n" );
document.write( "b)make a table of values that includes the vertex<BR>\n" );
document.write( "c)use this information to graph the function <BR>\n" );
document.write( "18) f(x)=x^2+2x+1:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"y=%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-1%29 ALIGN=MIDDLE  ALT=\"highlight%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "line of symmetry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "to find y intercept set x to zero....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280%29%5E2%2B2%280%29%2B1=1 ALIGN=MIDDLE  ALT=\"y=%280%29%5E2%2B2%280%29%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so y intercept is 1: (0,1)<BR>\n" );
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document.write( "now just find a few more values of y for chosen x values<BR>\n" );
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document.write( "such as when x=-1--->y=(-1)^2+2(-1)+1=0<BR>\n" );
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document.write( "do this for as many points as you like to get a picture of the graph<BR>\n" );
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document.write( "here is the graph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B2x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );