document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80562>Question 80562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> plaese help me out with is thank u<BR>\n" );
document.write( "The following equation is a circle. <BR>\n" );
document.write( "  y=x^2-6x+1<BR>\n" );
document.write( "   True <BR>\n" );
document.write( "  False <BR>\n" );
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document.write( "   Question 4  <BR>\n" );
document.write( "  The following equation is a circle.<BR>\n" );
document.write( "12x^2+12y^2=36 <BR>\n" );
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document.write( "   True <BR>\n" );
document.write( "  False <BR>\n" );
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document.write( "   Question 5  6 points    Save    <BR>\n" );
document.write( "  What is the center of the following circle?\r<BR>\n" );
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document.write( "Enter your answer as an ordered pair with no spaces.<BR>\n" );
document.write( "(x,y) <BR>\n" );
document.write( "  x^2+y^2-4x+8y-3=0<BR>\n" );
document.write( "                           <BR>\n" );
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document.write( "  Question 6  <BR>\n" );
document.write( "  Which way does the following parabola open? <BR>\n" );
document.write( "  x=-4y^2+8y-2<BR>\n" );
document.write( "    up  <BR>\n" );
document.write( "   down  <BR>\n" );
document.write( "   left  <BR>\n" );
document.write( "   right  <BR>\n" );
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document.write( "Question 7  <BR>\n" );
document.write( "  What is the vertex of the following parabola?\r<BR>\n" );
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document.write( "Enter your answer as an ordered pair with no spaces.<BR>\n" );
document.write( "(x,y) <BR>\n" );
document.write( "x=-4y^2+8y-2<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Question 8  <BR>\n" );
document.write( "  What is the focus of the following parabola?<BR>\n" );
document.write( "x=-4y^2+8-2\r<BR>\n" );
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document.write( "Question 9     <BR>\n" );
document.write( "  What is the equation of the directrix of the following parabola? <BR>\n" );
document.write( "x=-4y^2+8y-2<BR>\n" );
document.write( "  <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 #57782 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following equation is a circle. <BR>\n" );
document.write( "y=x^2-6x+1<BR>\n" );
document.write( " <BR>\n" );
document.write( "False : it is a parabola<BR>\n" );
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document.write( "Question 4 <BR>\n" );
document.write( "The following equation is a circle.<BR>\n" );
document.write( "12x^2+12y^2=36 \r<BR>\n" );
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document.write( "True : because the coefficients of x^2 and y^2 are the same.<BR>\n" );
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document.write( "Question 5 6 points Save <BR>\n" );
document.write( "What is the center of the following circle? <BR>\n" );
document.write( "Enter your answer as an ordered pair with no spaces.<BR>\n" );
document.write( "(x,y) <BR>\n" );
document.write( "x^2+y^2-4x+8y-3=0<BR>\n" );
document.write( "Complete the square for the x-terms and the y-terms separately:<BR>\n" );
document.write( "(x^2-4x+4) + (y^2+8y+16) = 3+4+16<BR>\n" );
document.write( "(x-2)^2 + (y+4)^2 = 23<BR>\n" );
document.write( "Center at (2,-4)<BR>\n" );
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document.write( "Question 6 <BR>\n" );
document.write( "Which way does the following parabola open? <BR>\n" );
document.write( "x=-4y^2+8y-2<BR>\n" );
document.write( "left : because it follows the form x=ay^2 where a is negative.<BR>\n" );
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document.write( "Question 7 <BR>\n" );
document.write( "What is the vertex of the following parabola? <BR>\n" );
document.write( "Enter your answer as an ordered pair with no spaces.<BR>\n" );
document.write( "(x,y) <BR>\n" );
document.write( "x=-4y^2+8y-2<BR>\n" );
document.write( "Complete the square on the y-terms:<BR>\n" );
document.write( "x+2-4=-4(y^2-2y+1)<BR>\n" );
document.write( "x-2 = -4(y-1)^2<BR>\n" );
document.write( "Vertex at (2,1)<BR>\n" );
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document.write( "Question 8 <BR>\n" );
document.write( "What is the focus of the following parabola?<BR>\n" );
document.write( "x=-4y^2+8-2<BR>\n" );
document.write( "Same as above resulting in the form <BR>\n" );
document.write( "x-2 = -4(y-1)^2<BR>\n" );
document.write( "Therefore 4p=-4 and p=-1<BR>\n" );
document.write( "So the focus is 1 to the left of the vertex or at (1,1)<BR>\n" );
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document.write( "Question 9 <BR>\n" );
document.write( "What is the equation of the directrix of the following parabola? <BR>\n" );
document.write( "x=-4y^2+8y-2<BR>\n" );
document.write( "Same work as above but the directrix is 1 to the right of the vertex:<BR>\n" );
document.write( "x=3 is the directrix.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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