a. Apply each set of transformations to the graph of y = cos x.

b. Sketch the graph of y = cos x and the transformed curve on the same axes.

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

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

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

ii. A translation of 180° in the negative x-direction

iii. A stretch, scale factor 2, parallel to the x-axis followed by a translation of 180° in the negative x direction

iv. A translation of 180°in the negative x direction followed by a stretch of scale factor 2 parallel to the x axis.