8 A curve is such that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 2 ( 3 x + 4 ) ^ { \frac { 3 } { 2 } } - 6 x - 8 .$$
- Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
- Verify that the curve has a stationary point when \(x = - 1\) and determine its nature.
- It is now given that the stationary point on the curve has coordinates \(( - 1,5 )\). Find the equation of the curve.