Kathleen Rausch

2021-12-17

How to graph $y=-\mathrm{cos}\left(x\right)$

sukljama2

Beginner2021-12-18Added 32 answers

Start from $y=\mathrm{cos}\left(x\right)$ :

graph$\left\{\mathrm{cos}\left(x\right)\text{}[-6,6,-2,2]\right\}$

For the same value of argument of x function$-\mathrm{cos}\left(x\right)$ takes a value that is equal to the value of $\mathrm{cos}\left(x\right)$ by absolute value, but opposite in its sign.

So, when$\mathrm{cos}\left(x\right)$ is positive, $-\mathrm{cos}\left(x\right)$ is negative with the x-axis being an axis of symmetry. And, when $\mathrm{cos}\left(x\right)$ is negative, $-\mathrm{cos}\left(x\right)$ is symmetrically positive with the x-axis.

The graph of$y=-\mathrm{cos}\left(x\right)$ : $\{-\mathrm{cos}\left(x\right)\text{}[-6,6,-2,2]\}$

It's mirror image of a graph of function$y=\mathrm{cos}\left(x\right)$ with the x-axis acting as a mirror.

Generally, graphs of$y=f\left(x\right)$ and $y=-f\left(x\right)$ are symmetrical relative to the x-axis.

graph

For the same value of argument of x function

So, when

The graph of

It's mirror image of a graph of function

Generally, graphs of

Raymond Foley

Beginner2021-12-19Added 39 answers

The graph of $y=-\mathrm{cos}x$ is $\{-\mathrm{cos}x\text{}[-6,6,-2,2]\}$

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