How do you graph #y=1-cosx#?

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Answer 1 · 2015-12-23T14:12:37

First, notice that #y=-cosx+1#.

Recall the graph of the parent function, #y=cosx#.

graph{cos(x) [-7.9, 7.9, -3.95, 3.95]}

Since #y=color(red)(-)cosx#, reflect the graph over the #x#-axis.

graph{-cos(x) [-7.9, 7.9, -3.95, 3.95]}

Now, shift the graph up by #1# unit since the full equation is #y=-cosxcolor(red)(+1#.

graph{-cos(x)+1 [-7.9, 7.9, -3.95, 3.95]}