- (a) Sketch the graph of the curve \(C\) with equation
$$y = \frac { 4 } { x - k }$$
where \(k\) is a positive constant.
Show on your sketch
- the coordinates of any points where \(C\) cuts the coordinate axes
- the equation of the vertical asymptote to \(C\)
Given that the straight line with equation \(y = 9 - x\) does not cross or touch \(C\)
(b) find the range of values of \(k\).