2 A curve has equation
$$\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$$
- Sketch the curve, showing the coordinates of the points of intersection with the coordinate axes.
- Calculate the \(y\)-coordinates of the points of intersection of the curve with the line \(x = 1\). Give your answers in the form \(p \sqrt { 2 }\), where \(p\) is a rational number.
- The curve is translated one unit in the positive \(x\) direction. Write down the equation of the curve after the translation.