document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672959>Question 672959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)f(x)=x2-8x+12.   b) f(x)=4x-x2<BR>\n" );
document.write( "i) find where the parabola cuts the y-axis<BR>\n" );
document.write( "ii) find the qaudratic equations roots<BR>\n" );
document.write( "iii) find the axis of symmetry. and the turning point </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418654 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=418654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)f(x)=x2-8x+12. b) f(x)=4x-x2<BR>\n" );
document.write( "i) find where the parabola cuts the y-axis<BR>\n" );
document.write( "ii) find the quadratic equations roots<BR>\n" );
document.write( "iii) find the axis of symmetry. and the turning point<BR>\n" );
document.write( "**<BR>\n" );
document.write( "a)f(x)=x2-8x+12<BR>\n" );
document.write( "complete the square.<BR>\n" );
document.write( "y=(x^2-8x+16)+12-16<BR>\n" );
document.write( "y=(x-4)^2-4<BR>\n" );
document.write( "This is a parabola that opens upwards with vertex at (4,-4)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "i) find where the parabola cuts the y-axis<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=16-4=12<BR>\n" );
document.write( "parabola cuts the y-axis at 12 (y-intercept)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "ii) find the quadratic equations roots<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "(x-4)^2-4=0<BR>\n" );
document.write( "(x-4)^2=4<BR>\n" );
document.write( "x-4=±&#8730;4=±2<BR>\n" );
document.write( "x=4±2<BR>\n" );
document.write( "roots are:<BR>\n" );
document.write( "x=6 and 2 (x-intercepts)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "iii) find the axis of symmetry. and the turning point.<BR>\n" );
document.write( "axis of symmetry: x=4<BR>\n" );
document.write( "turning point: (4,-4) (vertex)\r<BR>\n" );
document.write( "\n" );
document.write( "I will let you do b) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );