Questions

In questions 1 through 10 assume that c is a positive number.

1. How is the graph of y = f(x) + c related to y = f(x)?

2. How is the graph of y = f(x) - c related to y = f(x)?

3. How is the graph of y = f(x + c) related to y = f(x)?

4. How is the graph of y = f(x - c) related to y = f(x)?

5. How is the graph of y = -f(x) related to y = f(x)?

6. How is the graph of y = f(-x) related to y = f(x)?

7. If c>1, how does y = cf(x) compare with y = f(x)?

8. If 0<c<1, how does y = cf(x) compare with y = f(x)?

9. If c>1, how does y = f(cx) compare with y = f(x)?

10. If 0<c<1, how does y = f(cx) compare with y = f(x)?

11. Give an equation that has the same shape as but is shifted 4 units to the left and shifted up 5 units.

12. Give the equation if is reflected about the x-axis.

13. Give the equation if is reflected about the y-axis.

14. Write an equation that turns upside down and moves it 3 units to the right.