document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737563>Question 737563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Parabolas:<BR>\n" );
document.write( "Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola. \r<BR>\n" );
document.write( "\n" );
document.write( "y=x^2+2x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450722 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=450722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola. <BR>\n" );
document.write( "y=x^2+2x+2<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=(x^2+2x+1)-1+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B1%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"y=%28x%2B1%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a parabola that opens upward.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=A%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=A%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "vertex: (-1,1)<BR>\n" );
document.write( "axis of symmetry: x=-1<BR>\n" );
document.write( "parabola opens upward.\r<BR>\n" );
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document.write( "see graph below as a visual check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B1%29%5E2%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B1%29%5E2%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );