For each transformation (i) to (iv):

a. Sketch the graph of y = sin x and on the same axes sketch its image under the transformation.

b. State the amplitude and period of the transformed graph.

c. What do you notice about your answers for iii and iv?

i. A stretch, scale factor 2, parallel to the y-axis

ii. A translation of 1 unit vertically downwards

iii. A stretch, scale factor 2, parallel to the y-axis followed by a translation of 1 unit vertically downwards.

iv. A translation of 1 unit vertically downwards followed by a stretch of scale factor 2 parallel to the y-axis