10 The curve \(C _ { 1 }\) has equation
$$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 4 } = 1$$
The curve \(C _ { 2 }\) has equation
$$x ^ { 2 } - 25 y ^ { 2 } - 6 x - 200 y - 416 = 0$$
10
- Find a sequence of transformations that maps the graph of \(C _ { 1 }\) onto the graph of \(C _ { 2 }\) [4 marks]
10 - Find the equations of the asymptotes to \(C _ { 2 }\)
Give your answers in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers.