Transforming graphs: y = −f(x)

12 questions

1. \text{f}(x)+a and \text{f}(x+a) transform the graph of \text{f}(x) by __________.
2. Match each piece of function notation to a description.
3. The transformation of the point (3,4) to the position (-3,4) could be described by __________.
4. The transformation of the point (-2,5) to the position (-2,-5) could be described by __________.
5. The point (7,-9) is reflected in the x-axis. What is its new position?
6. The point (-a,b) is reflected in the x-axis. What is its new position?
7. -\text{f}(x) is a transformation by __________.
8. -\text{f}(x) is a transformation by reflection __________.
9. y=\text{f}(x) is graphed here. Which coordinate pairs will be on the transformed graph y=-\text{f}(x)?
10. y=\text{f}(x) is graphed. Which of these images shows the transformation y=-\text{f}(x)?
11. Here is a table of values for an unknown function \text{f}(x) Which coordinate pairs will be on the transformed graph y=-\text{f}(x)?
12. (-c,-d) is on the graph of y=\text{f}(x), c\neq{0} and d\neq{0}. What will be the position of this point on the graph y=-\text{f}(x)?

License: OGL