document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451013>Question 451013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the parabolas\r<BR>\n" );
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document.write( "y = 1/2(x-1)^2\r<BR>\n" );
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document.write( "x=-1/4(y+1)^2 +2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310208 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=310208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph the parabolas <BR>\n" );
document.write( "y = 1/2(x-1)^2 <BR>\n" );
document.write( "x=-1/4(y+1)^2 +2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y = 1/2(x-1)^2<BR>\n" );
document.write( "This equation is a parabola of the form, y=A(x-h)^2+k. <BR>\n" );
document.write( "For given equation, y = 1/2(x-1)^2<BR>\n" );
document.write( "Curve opens upwards<BR>\n" );
document.write( "(x,y) coordinates of the vertex= (h,k)=(1,0)<BR>\n" );
document.write( "Axis of symmetry x=1<BR>\n" );
document.write( "A=1/2 (The larger the narrower the curve)<BR>\n" );
document.write( "With this information and one other point on the curve, you should be able to graph this parabola.<BR>\n" );
document.write( "Your graph should look much like the one below.<BR>\n" );
document.write( "..<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+.5%28x-1%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+.5%28x-1%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=-1/4(y+1)^2 +2<BR>\n" );
document.write( "This equation is a parabola of the form, x=-A(y-k)^2+h. <BR>\n" );
document.write( "For given equation, x=-1/4(y+1)^2 +2<BR>\n" );
document.write( "Curve opens leftwards<BR>\n" );
document.write( "(x,y) coordinates of the vertex= (h,k)=(2,-1)<BR>\n" );
document.write( "Axis of symmetry y=-1<BR>\n" );
document.write( "A=-1/4 (The larger the narrower the curve)<BR>\n" );
document.write( "With this information and one other point on the curve, you should be able to graph this parabola.<BR>\n" );
document.write( "Your graph should look much like the one below.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=(-4x+8)^.5-1\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+%28-4x%2B8%29%5E.5-1%2C-%28-4x%2B8%29%5E.5-1%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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