document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541777>Question 541777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the x intercepts of the parabola wiht a vertex(3,-2) and y-intercept (0,-7)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354363 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=354363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the x intercepts of the parabola with a vertex(3,-2) and y-intercept (0,-7)<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 the vertex.<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "y=A(x-h)^2+k<BR>\n" );
document.write( "y=A(x-3)^2-2<BR>\n" );
document.write( "using coordinates of given point (0,-7)<BR>\n" );
document.write( "-7=A(0-3)^-2<BR>\n" );
document.write( "-7=A(3)^2-2<BR>\n" );
document.write( "9A=-5<BR>\n" );
document.write( "A=-5/9<BR>\n" );
document.write( "Equation of given parabola:<BR>\n" );
document.write( "y=A(x-3)^2-2<BR>\n" );
document.write( "y=(-5/9)(x-3)^2-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercepts:<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "(-5/9)(x-3)^2-2=0<BR>\n" );
document.write( "-5(x-3)^2=2<BR>\n" );
document.write( "(x-3)^2=-2/5<BR>\n" );
document.write( "(x-3)=&#8730;(-2/5)<BR>\n" );
document.write( "x=&#8730;(-2/5)+3<BR>\n" );
document.write( "no real number solution<BR>\n" );
document.write( "x-intercepts: none </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );