\(\quad C\) is mapped by a single transformation onto curve \(C _ { 1 }\) with equation \(y = \mathrm { f } ( x + 2 )\) State the coordinates of the maximum point on curve \(C _ { 1 }\)
7
\(\quad C\) is mapped by a single transformation onto curve \(C _ { 2 }\) with equation \(y = 4 \mathrm { f } ( x )\) State the coordinates of the maximum point on curve \(C _ { 2 }\)
7
\(\quad C\) is mapped by a stretch in the \(x\)-direction onto curve \(C _ { 3 }\) with equation \(y = \mathrm { f } ( 3 x )\) State the scale factor of the stretch.