2
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The diagram shows part of the curve with equation \(\mathrm { y } = \mathrm { ksin } \frac { 1 } { 2 } \mathrm { x }\), where \(k\) is a positive constant and \(x\) is measured in radians. The curve has a minimum point \(A\).
- State the coordinates of \(A\).
- A sequence of transformations is applied to the curve in the following order.
Translation of 2 units in the negative \(y\)-direction
Reflection in the \(x\)-axis
Find the equation of the new curve and determine the coordinates of the point on the new curve corresponding to \(A\).