document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274307>Question 274307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation y=a(x-h)^2+k with the given.\r<BR>\n" );
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document.write( "with a y-intercept 10, x-intercept 2, and equation of axis x-3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200210 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=200210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation y=a(x-h)^2+k with the given. <BR>\n" );
document.write( "with a y-intercept 10, x-intercept 2, and equation of axis x-3=0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "You have three points: (0,10), (2,0) and vertex(3,y)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If vertex is (3,y), h=3.<BR>\n" );
document.write( "y = a(x-3)^2+k<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substituting (0,10) and (2,0)<BR>\n" );
document.write( "10 = a(-3)^2 + k<BR>\n" );
document.write( "0 = a(-1)^2 + k<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for a and k:<BR>\n" );
document.write( "9a + k = 10<BR>\n" );
document.write( "a + k = 0<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "8a = 10<BR>\n" );
document.write( "a = 5/4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "k = -5/4<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "y = (5/4)(x-3)^2 - (5/4)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F4%29%28x-3%29%5E2-%285%2F4%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F4%29%28x-3%29%5E2-%285%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );