document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765314>Question 765314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Express the Quadratic Function in Standard Form.<BR>\n" );
document.write( "2.Find it's Vertex and its x- and y- intercept(s).\r<BR>\n" );
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document.write( " f(x)=2x^2+4x+3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466077 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=466077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Express the Quadratic Function in Standard Form.<BR>\n" );
document.write( "2.Find it's Vertex and its x- and y- intercept(s). <BR>\n" );
document.write( "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( "f(x)=2x^2+4x+3<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "f(x)=2(x^2+2x+1)-2+3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2%28x%2B1%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29=2%28x%2B1%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "vertex(-1,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=2x^2+4x+3<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercept<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "0&#8800;2x^2+4x+3<BR>\n" );
document.write( "x-intercept: none\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+-5%2C+5%2C+-5%2C+5%2C+2x%5E2%2B4x%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2%2B4x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );