6 A curve \(C\), has equation \(y = x ^ { 2 } - 4 x + k\), where \(k\) is a constant.
It crosses the \(x\)-axis at the points \(( 2 + \sqrt { 5 } , 0 )\) and \(( 2 - \sqrt { 5 } , 0 )\)
6
- Find the value of \(k\).
[0pt]
[2 marks]
6 - Sketch the curve \(C\), labelling the exact values of all intersections with the axes.
[0pt]
[3 marks]