document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412883>Question 412883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the quadratic equation, and find the following<BR>\n" );
document.write( "y=-(x-3)^2+4\r<BR>\n" );
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document.write( "Vertex:\r<BR>\n" );
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document.write( "X-intercepts (zeros):\r<BR>\n" );
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document.write( "Axis of symmetry equation:\r<BR>\n" );
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document.write( "y-intercept: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289905 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=289905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the quadratic equation, and find the following<BR>\n" );
document.write( "y=-(x-3)^2+4<BR>\n" );
document.write( "Vertex:<BR>\n" );
document.write( "X-intercepts (zeros):<BR>\n" );
document.write( "Axis of symmetry equation:<BR>\n" );
document.write( "y-intercept:\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "Standard form of a parabola:y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Parabola opens upward if coefficient of (x-h)^2 term is positive and downward if the coefficient is negatve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Given parabola opens downward.(by inspection)<BR>\n" );
document.write( "Vertex: (3,4) (by inspection)<BR>\n" );
document.write( "Axis of symmetry: x=3 (by inspection)<BR>\n" );
document.write( "solving for y-intercept<BR>\n" );
document.write( "let x=0<BR>\n" );
document.write( "y=-9+4=-5<BR>\n" );
document.write( "y-intercept=5<BR>\n" );
document.write( "solving for x-intercepts<BR>\n" );
document.write( "let y=0<BR>\n" );
document.write( "(x-3)^2=4<BR>\n" );
document.write( "x-3=+-sqrt(4)<BR>\n" );
document.write( "x=3+-2<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "see the graph below:\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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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-3%29%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-%28x-3%29%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );