document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667358>Question 667358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the function and state the vertex, the axis of symmetry, the intercepts if any.<BR>\n" );
document.write( "F(x)=x²-4x+3\r<BR>\n" );
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document.write( "What is the vertex?<BR>\n" );
document.write( "What is the axis of symmetry?<BR>\n" );
document.write( "What are the intercepts if any?<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 #414981 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=414981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the function and state the vertex, the axis of symmetry, the intercepts if any.<BR>\n" );
document.write( "F(x)=x²-4x+3 <BR>\n" );
document.write( "What is the vertex?<BR>\n" );
document.write( "What is the axis of symmetry?<BR>\n" );
document.write( "What are the intercepts if any?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "F(x)=x²-4x+3<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=(x^2-4x+4)+3-4<BR>\n" );
document.write( "y=(x-2)^2-1<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards.<BR>\n" );
document.write( "Its standard form: y=A(x-h)^2+k, (h,k) =(x,y) coordinates of the vertex, A is a coefficient that affects the width of the curve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given parabola:y=(x-2)^2-1<BR>\n" );
document.write( "vertex: (2,-1)<BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "Axis of symmetry: x=2<BR>\n" );
document.write( "x-intercepts<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "(x-2)^2-1=0<BR>\n" );
document.write( "(x-2)^2=1<BR>\n" );
document.write( "x-2=±1<BR>\n" );
document.write( "x=2±1<BR>\n" );
document.write( "x=3 and 1<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%2C+10%2C+-10%2C+10%2C%28x-2%29%5E2-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x-2%29%5E2-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );