Module 1 Transformations
These are the lessons for the Transformations module
Lesson 3 Stretches
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.
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.