# How do you graph  y=-sin(1/10x)?

May 30, 2018

Graph inverted on x axis and stretched to a period of $20 \pi$

#### Explanation:

$y = - \sin \left(\frac{1}{10} x\right)$

standard for is:

$y = a \sin \left(b x - c\right) + d$

a = amplitude, $a < 0$ graph inverts on x axis.

b - horizontal stretch/compression

your c and d are 0

So your graph amplitude $a = - 1$ so range remains -1 to 1 but the graph is inverted.

your horizontal stretch is $\frac{1}{10}$ so the period of your function will be stretched by a factor of 10:

$10 \cdot 2 \pi$

graph{-sin(1/10x) [-40, 40, -20, 20]}