9 A curve is such that \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } = - 4 x\). The curve has a maximum point at (2,12).
- Find the equation of the curve.
A point \(P\) moves along the curve in such a way that the \(x\)-coordinate is increasing at 0.05 units per second.
- Find the rate at which the \(y\)-coordinate is changing when \(x = 3\), stating whether the \(y\)-coordinate is increasing or decreasing.