The curve \(C _ { 1 }\) has equation \(y = 2 x ^ { 2 } - 20 x + 42\)
Express the equation of \(C _ { 1 }\) in the form
$$y = a ( x - b ) ^ { 2 } + c$$
where \(a , b\) and \(c\) are integers.
6
Write down the coordinates of the minimum point of \(C _ { 1 }\)
6
The curve \(C _ { 1 }\) is mapped onto the curve \(C _ { 2 }\) by a stretch in the \(y\)-direction.
The minimum point of \(C _ { 2 }\) is at \(( 5 , - 4 )\)
Find the equation of \(C _ { 2 }\)
\(7 \quad\) Points \(P\) and \(Q\) lie on the curve with equation \(y = x ^ { 4 }\)
The \(x\)-coordinate of \(P\) is \(x\)
The \(x\)-coordinate of \(Q\) is \(x + h\)