document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715160>Question 715160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439250 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=439250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)?<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.<BR>\n" );
document.write( "For given function:<BR>\n" );
document.write( "y=A(x-0.5)^2+4<BR>\n" );
document.write( "solve for A using one of given points (-1.5,0)<BR>\n" );
document.write( "0=A(-1.5-0.5)^2+4<BR>\n" );
document.write( "0=A(-2)^2+4<BR>\n" );
document.write( "4A=-4<BR>\n" );
document.write( "A=-1<BR>\n" );
document.write( "Equation: y=-(x-0.5)^2+4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );