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Sketch a graph of the function f(x) = -3cos(x) + 1

User Janis Kirsteins
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1 Answer

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To sketch the graph of the given function, notice that it is the result of applying some transformations to the parent function g(x)=cos(x).

Starting with the cosine parent function, apply a vertical stretch by 3 units:


\cos (x)\rightarrow3\cos (x)

Next, apply a reflection over the Y-axis:


3\cos (x)\rightarrow-3\cos (x)

Finally, apply a vertical translation by 1 unit up:


-3\cos (x)\rightarrow-3\cos (x)+1

Then, the graph of f(x)=-3cos(x)+1 is:

Sketch a graph of the function f(x) = -3cos(x) + 1-example-1
Sketch a graph of the function f(x) = -3cos(x) + 1-example-2
Sketch a graph of the function f(x) = -3cos(x) + 1-example-3
Sketch a graph of the function f(x) = -3cos(x) + 1-example-4
User Puneet Sinha
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