# How do you graph #y=1/2(1-cosx)#?

##### 1 Answer

#### Answer:

Here's the graph:

graph{1/2(1-cos(x)) [-10, 10, -5, 5]}

#### Explanation:

You only need to understand which changes were made, starting from the function

- Change sign:
#cos(x) -> -cos(x)# - Add
#1# :#-cos(x) -> 1-cos(x)# - Divide everything by
#2# :#1-cos(x) -> 1/2(1-cos(x))# .

Changing the sign of a function simply means to reflect it, with respect to the

graph{cos(x) [-12.66, 12.65, -6.33, 6.33]}

graph{-cos(x) [-12.66, 12.65, -6.33, 6.33]}

Adding a positive constant means to translate the graph upwards. In your case, you'll translate the graph of

graph{1-cos(x) [-12.66, 12.65, -6.33, 6.33]}

Finally, dividing by