document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841742>Question 841742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a function whose graph is a parabola with vertex<BR>\n" );
document.write( "(4, 3)<BR>\n" );
document.write( "and that passes through the point<BR>\n" );
document.write( "(&#8722;3, 1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507174 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=507174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a function whose graph is a parabola with vertex<BR>\n" );
document.write( "(4, 3)and that passes through the point(&#8722;3, 1).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given data shows parabola opens left.<BR>\n" );
document.write( "Its basic equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of vertex<BR>\n" );
document.write( "(y-3)^2=4p(x-4)<BR>\n" );
document.write( "(1-3)^2=4p(-3-4)<BR>\n" );
document.write( "4=4p(-7)<BR>\n" );
document.write( "4p=-4/7<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "(y-3)^2=-(4/7)(x-4)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=((-4/7)(x-4))^.5+3\r<BR>\n" );
document.write( "\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+%28%28-4%2F7%29%28x-4%29%29%5E.5%2B3%2C-%28%28-4%2F7%29%28x-4%29%29%5E.5%2B3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );