# How do you find period, amplitude, phase shift and midline of #f(x) = −4 sin(2x + π) − 5#?

##### 1 Answer

Jun 10, 2018

please see below

#### Explanation:

we have standard form

comparing the equation with standard form

midline is the line that runs between the maximum and minimum value(

since the new amplitude is 4 and graph is shifted 5 units in negative

therefore maximum value is

phase change =

period is

it will be more clear from graph

graph{-4sin(2x+pi)-5 [-16.02, 16.01, -8.01, 8.01]}