document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524018>Question 524018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please!!!<BR>\n" );
document.write( "I have to write an equation in vertex form for two parabolas.\r<BR>\n" );
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document.write( "first has vertex at (0,5) and point (10,0)\r<BR>\n" );
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document.write( "second has vertex at (0,4) and point (1,2)\r<BR>\n" );
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document.write( "Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347524 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=347524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to write an equation in vertex form for two parabolas. <BR>\n" );
document.write( "first has vertex at (0,5) and point (10,0) <BR>\n" );
document.write( "second has vertex at (0,4) and point (1,2)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex, A=multiplier which affects steepness or slope of the curve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For vertex (0,5) and point (10,0)<BR>\n" );
document.write( "Equation: y=A(x-0)^2+5=Ax^2+5<BR>\n" );
document.write( "solving for A, using coordinates of point (10,0)<BR>\n" );
document.write( "0=A(10^2)+5<BR>\n" );
document.write( "-5=100A<BR>\n" );
document.write( "A=-5/100=-1/20<BR>\n" );
document.write( "Equation: y= -x^2/20+5<BR>\n" );
document.write( "see graph below as a visual check<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-x%5E2%2F20%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-x%5E2%2F20%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "..<BR>\n" );
document.write( "For vertex (0,4) and point (1,2)<BR>\n" );
document.write( "Equation: y=A(x-0)^2+4=Ax^2+4<BR>\n" );
document.write( "solving for A, using coordinates of point (1,2)<BR>\n" );
document.write( "2=A(1^2)+4<BR>\n" );
document.write( "-2=(1)A<BR>\n" );
document.write( "A=-2<BR>\n" );
document.write( "Equation: y=-2x^2+4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "See graphs below:<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-2x%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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