document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732022>Question 732022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Writing an equation for a parabola in the form y= a(x-h)^2 + k with given information.\r<BR>\n" );
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document.write( "1. It gives you : <BR>\n" );
document.write( "with y- intersept 10, x- intercept 2, and equation of axis of symmetry x-3=0<BR>\n" );
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document.write( "how would i find a and k? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447468 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=447468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Writing an equation for a parabola in the form y= a(x-h)^2 + k with given information. <BR>\n" );
document.write( "1. It gives you : with y- intersept 10, x- intercept 2, and equation of axis of symmetry x-3=0<BR>\n" );
document.write( "how would i find a and k?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Standard form of equation for a parabola: y=a(x-h)^2+k, (h,k)=(x,y) coordinates of vertex, a=multiplier which affects slope or steepness of curve<BR>\n" );
document.write( "Equation of axis of symmetry: x-3=0<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "so, h=3<BR>\n" );
document.write( "Equation: y=a(x-3)^2+k<BR>\n" );
document.write( "points given: <BR>\n" );
document.write( "y-intercept: (0,10)<BR>\n" );
document.write( "x-intercept: (2,0)<BR>\n" );
document.write( "using points to form a system of two equations to solve for a and k<BR>\n" );
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document.write( "10=a(0-3)^2+k<BR>\n" );
document.write( "0=a(2-3)^2+k<BR>\n" );
document.write( "..<BR>\n" );
document.write( "10=9a+k<BR>\n" );
document.write( "  0= a +k<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "10=8a<BR>\n" );
document.write( "a=10/8=5/4<BR>\n" );
document.write( "k=-a=-5/4<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y=(5/4)(x-3)^2-5/4 </SPAN>\n" );
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