Get the answer to "How to graph y=−cos⁡(x)"

Kathleen Rausch

Answered question

2021-12-17

How to graph

y = - \cos (x)

sukljama2

Beginner2021-12-18Added 32 answers

Start from

y = \cos (x)

:
graph

{\cos (x) [- 6, 6, - 2, 2]}

For the same value of argument of x function

- \cos (x)

takes a value that is equal to the value of

\cos (x)

by absolute value, but opposite in its sign.
So, when

\cos (x)

is positive,

- \cos (x)

is negative with the x-axis being an axis of symmetry. And, when

\cos (x)

is negative,

- \cos (x)

is symmetrically positive with the x-axis.
The graph of

y = - \cos (x)

{- \cos (x) [- 6, 6, - 2, 2]}

It's mirror image of a graph of function

y = \cos (x)

with the x-axis acting as a mirror.
Generally, graphs of

y = f (x)

and

y = - f (x)

are symmetrical relative to the x-axis.

Raymond Foley

Beginner2021-12-19Added 39 answers

The graph of

y = - \cos x

{- \cos x [- 6, 6, - 2, 2]}

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