# How do you graph #y = sin(-x)#?

##### 1 Answer

Jul 19, 2018

See graph and explanation.

#### Explanation:

Upon changing x to

If f( - x ) = - f ( x ), the graph changes as mirror image with respect

to x-axis and the function is an odd function. Here, the combined

graph of both is symmetrical about x-axis. Example: sin x.

See separate graphs..

Graph of

graph{y + sin x = 0}

Graph of

graph{y - sin x = 0}

Combined graph of

graph{y^2 - (sin x)^2 = 0}

If f( - x ) = f ( x ), the graph does not change and the function i an

even function. Example

symmetrical about y-axis.