How do you determine the amplitude and period for #y=-2sin x#?

1 Answer
Mar 8, 2018

2, and #2pi#

Explanation:

Although this may be a bit too late I'll explain.
The formula for graphing trigonometric functions is
#f(x)= A*sin b(x-ø) + k# I used sin as an example, it can be replaced with any function. the amplitude is the A value, but there is a caveat, the amplitude is always positive, so amplitude = #abs A#
The period is always equal to (for sin and cos) #(2pi)/b# for tangent it is #pi/b#

b is the value that comes after sin, but before x, in this case, there is no b value so we assume it to equal 1. If b=1 then we plug it in
#(2pi)/1# which is just #2pi#