document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767134>Question 767134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1<BR>\n" );
document.write( " <BR>\n" );
document.write( "a) Orla and Maeve like to play volleyball once a week. When Maeve serves, the tractory of the ball aftre she hits it can be modelled by the quadratic equation \r<BR>\n" );
document.write( "\n" );
document.write( "y=-1/8x^2+9/8x+5/4<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "where y reprsents the height in metres of the ball above the ground , and x reprsents the horizontal distnace of the ball from the position where it was struck by Maeve , measured in metres. Assume that the surface of the volleyball court is horizontal<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a) the graph of y=-1/8x^2+9/8x+5/4 is a parabola<BR>\n" );
document.write( " <BR>\n" );
document.write( "(i) is the parabola a u-shaped or a n-shaped? How can you tell this from the equation?<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(ii)Use algebra to find the x-intercepts and y-intercepts \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(iii) find the equation of the axis of symmetry , explaining your method. Use this information to find the coordinates of the vertex, giving your answers to one decimal place \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(iv) Provide a sketch of the parabola<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Q1 (b)in this part of the question you are asked to consider the trajectory of the ball modelled by the equation y=-1/8x^2+9/8x+5/4, in the conjunction with the results that you found in part (a)<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(i) Find the length of the ball when it is 4 metres horizontally from the postion where Maeve serves it \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(ii) use your answer to part (a)(iii) to find the maximum height reached by the ball<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(iii) what does the y-intercept represent in the context of this model?<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(iv) Assuming that the ball is not returned ,how far will it be horizontally from when Maeve served itwhen it first lands on the court/ Explain your answer \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Q2 A) use the quadratic formula to solve the equation 3p^2+5p-11=0<BR>\n" );
document.write( " <BR>\n" );
document.write( "give your answers to two decimal places \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) this part of the question concerns the the quadratic equation 7x^2-3x-11=0<BR>\n" );
document.write( " <BR>\n" );
document.write( "(i)Find the discriminant of the quadratic expression 7x^2-3x-11<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(ii) What does this tell you about the number of solutions of the equation ? explain your answer breifly \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(iii) what does this tell you about the graph of y=7x^2-3x-11<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467436 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "No.  You cannot dump your entire assignment and expect it just to get done for you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One question per post.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Describe what it is about that particular question that you don't understand.  Don't say \"none of it\" either.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Show what you have tried so far.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This site is to get help; not to get your work done for you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );