document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=733359>Question 733359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=5x^2+20x+30<BR>\n" );
document.write( "Express in standard form<BR>\n" );
document.write( "Find the Vertex<BR>\n" );
document.write( "Graph the parabola  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448512 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=448512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=5x^2+20x+30<BR>\n" );
document.write( "Express in standard form<BR>\n" );
document.write( "Find the Vertex<BR>\n" );
document.write( "Graph the parabola<BR>\n" );
document.write( "***<BR>\n" );
document.write( "f(x)=5x^2+20x+30<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "f(x)=5(x^2+4x+4)-20+30<BR>\n" );
document.write( "f(x)=5(x+2)^2+10<BR>\n" );
document.write( "This is an equation of a parabola that opens upward<BR>\n" );
document.write( "Its standard (vertex) form: y=A(x-h)^2+k, (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( "For given parabola:<BR>\n" );
document.write( "vertex: (-2,10)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C10%2C+-20%2C+20%2C5x%5E2%2B20x%2B30%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C10%2C+-20%2C+20%2C5x%5E2%2B20x%2B30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );