# How do you find the important points to graph y=-.4 sin (10x+pi/2)?

May 19, 2018

As below

#### Explanation:

Standard form for sine function is

$y = A \sin \left(B x - C\right) + D$

Given : $y = - 0.4 \sin \left(10 x + \frac{\pi}{2}\right)$

Amplitude $= | A | = 0.4$

Period $= \frac{2 \pi}{|} B | = \frac{2 \pi}{10} = \frac{\pi}{5}$

Phase Shift $= \frac{- C}{B} = \frac{- \left(\frac{\pi}{2}\right)}{10} = \frac{- \pi}{20}$, $\frac{\pi}{20}$ to the left

Vertical Shift $= D = 0$