How do you graph #y=2 cos(-x)+3#?

1 Answer
Oct 25, 2014

Cosine is an even function so the #-x# has the same impact as #x#.

#cos(-x) = cos(x)#

#y=2cos(x)+3# yields the same results

The amplitude of this function is 2.

This is a graph of the cos(x) shifted 3 units vertically.

The red curve is the original equation.
The blue curve is the new equation showing that cosine is an even function .

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The red and blue color signify the same functions as above.
The point of this image is to show that both functions result in the same curve.

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Graph of the original equation

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