document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664345>Question 664345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the vertex form for a parabola with the given characteristics.\r<BR>\n" );
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document.write( "1. vertex ( 0, 0)  directrix x = -15\r<BR>\n" );
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document.write( "2. vertex (3, 3) focus (3, 0)\r<BR>\n" );
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document.write( "3. Vertex ( 0, 0 ) focus ( 2, 0)\r<BR>\n" );
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document.write( "Write the standard form for the parabola given the following equation.\r<BR>\n" );
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document.write( "4. x2 + 8x - y + 20 = 0\r<BR>\n" );
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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 #413676 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=413676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the vertex form for a parabola with the given characteristics. <BR>\n" );
document.write( "1. vertex ( 0, 0) directrix x = -15<BR>\n" );
document.write( "This is a parabola that opens rightwards<BR>\n" );
document.write( "Its form of equation: (y-k)^2=4p(x-h)<BR>\n" );
document.write( "p=15 (distance from vertex to directrix)<BR>\n" );
document.write( "4p=60<BR>\n" );
document.write( "equation:y^2=60x<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "2. vertex (3, 3) focus (3, 0)<BR>\n" );
document.write( "This is a parabola that opens downwards<BR>\n" );
document.write( "Its form of equation: (x-h)^2=-4p(y-k)<BR>\n" );
document.write( "p=3 (distance from vertex to focus)<BR>\n" );
document.write( "4p=12<BR>\n" );
document.write( "equation:(x-3)^2=-12(y-3) \r<BR>\n" );
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document.write( "3. Vertex ( 0, 0 ) focus ( 2, 0)<BR>\n" );
document.write( "This is a parabola that opens rightwards<BR>\n" );
document.write( "Its form of equation: (y-k)^2=4p(x-h)<BR>\n" );
document.write( "p=2 (distance from vertex to focus)<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "equation:y^2=8x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Write the standard form for the parabola given the following equation. <BR>\n" );
document.write( "4. x2+8x-y+20=0<BR>\n" );
document.write( "standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A=multiplier that affects the slope or width of the curve. For A>0 parabola opens upwards, for A<0, parabola opens downwards.<BR>\n" );
document.write( "y=x^2+8x+20<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=(x^2+8x+16)+20-16<BR>\n" );
document.write( "y=(x+4)^2+4<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards with vertex at (-4,4) </SPAN>\n" );
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