Sketched below is the parabola f, with equation f(x) = x^{2} + 4x 3 and a hyperbola g. with the equation (xp)(y + t) = 3.
B, the turning point of f, lies at the point of intersection of the asymptotes of g.
A(1;0) is the xintercept of g.

5.1Show that the coordinates of B are (2;1)(2)

5.2Write down the range of f.(1)

5.3For which value(s) of x will g(x) ≥ 0?(2)

5.4Determine the equation of the vertical asymptote of the graph of h if h(x) = g(x + 4)(1)

5.5Determine the values of p and t.(4)

5.6Write down the values of x for which f(x).g`(x) ≥ 0(4)
(14)
[{"prnt":"5","num":"5.1","answer":""},{"prnt":"5","num":"5.2","answer":""},{"prnt":"5","num":"5.3","answer":""},{"prnt":"5","num":"5.4","answer":""},{"prnt":"5","num":"5.5","answer":""},{"prnt":"5","num":"5.6","answer":""}]