Module 1 Transformations

Benchmark- Stretches

Benchmark assignments give you a chance to practice to the level required for this section. Detailed solutions are provided.

1. The graph of a function y = f(x) is transformed as described below. The equation of it's image has the form y = af(bx). Determine the values of a and b for each transformation.

a) Stretch by a factor of 1/3 horizontally and a factor of 1/2 vertically.

b) Stretch by a factor of 2 horizontally and by a factor of 3 vertically.

c) Stretch by a factor of 1/2 horizontally and expand by a factor of 4 vertically.

d) Stretch by a factor of 4 horizontally and compress by a factor of 1/2 vertically.