First, define
a function f with the formula f(x)
= (.9)x * cos(x). (The * is multiplication.)
Remember,
you ALWAYS use radians in calculus.
Next,
graph
the function. The best way to do this for our purposes is to go to the
Y=
screen and complete the first line so that it reads y1(x)=f(x).
Then go to the GRAPH screen and adjust the WINDOW
if you don't like what you see.
Finally, graph each of the following equations, and carefully describe the effect of the extra 2 on the graph. Use complete English sentences and try to avoid using pronouns.
1. y = f(x) + 2
2. y = f(x) - 2
3. y = f(x+2)
4. y = f(x-2)
5. y = 2f(x)
6. y = -2f(x)
7. y = f(2x)
8. y = f(-2x)
9. y = f(-2x) + 2
10. y = f(-2x+ 2)
You may find it useful to repeat the process with different definitions for f.