Transforming graphs: y = f(ax)

12 questions

1. a\text{f}(x) is a transformation of the graph of \text{f}(x) by a __________ in the y-direction.
2. Match each piece of function notation to a description.
3. Shape 'b' is an enlargement of shape 'a' by scale factor of...
4. Shape 'a' is enlarged by scale factor 1\over4 from centre of enlargement (0,0). Which of these coordinate pairs will be vertices of the enlargement?
5. A square of area 144 square units is enlarged by a scale factor of \frac{1}{3}. What is the area of the transformed square? ___
6. Shape 'a' is enlarged by scale factor 1\over2 from centre of enlargement (-2,0). What will the new position of the marked vertex be?
7. y=\text{f}(ax) will transform y=\text{f}(x) by stretch in the ___-direction.
8. The transformation \text{f}(ax) is a stretch of \text{f}(x) in the x-direction by a ___ of 1\over{a}.
9. y=\text{f}(x) is graphed here. Which coordinate pairs will be on the graph y=\text{f}(4x)?
10. y=\text{f}(x) is graphed. Which of these images shows the transformation y=\text{f}(3x)?
11. \text{f}(x)=\text{cos}(x). Which points will be on the graph y=\text{f}(10x)?
12. \text{f}(x)=\text{cos}(x). In the domain 0\leq{x}\leq360 how many points on the graph of y=\text{f}(10x) will have an x coordinate value of 1?

License: OGL