Transforming graphs: y = f(x + a)

12 questions

1. \text{f}(x)+a is a ___ of the graph of \text{f}(x).
2. Match each piece of function notation to a description.
3. Shape 'a' has been transformed to shape 'b' by translation of __________.
4. The transformation of the point (3,-2) to the position (-4,-2) could be described by __________.
5. The point (-1,13) is translated +8 in the x-direction. What is its new position?
6. The point (c,-d) is translated by 9 in the negative x-direction. What is its new position?
7. \text{f}(x+a) is a transformation by __________.
8. \text{f}(x+a) is a transformation by translation of __________.
9. y=\text{f}(x) is graphed. Which of these images shows the transformation y=\text{f}(x-3)?
10. y=\text{f}(x) is graphed here. Which coordinate pairs will be on the transformation y=\text{f}(x+6)?
11. y=\text{f}(x) is graphed. What transformation can we see graphed? y=___
12. y=\text{f}(x) is graphed here. Which could the graph of the transformation be?

License: OGL