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

Mar 8, 2018

2, and $2 \pi$

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 = $\left\mid A \right\mid$
The period is always equal to (for sin and cos) $\frac{2 \pi}{b}$ for tangent it is $\frac{\pi}{b}$

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
$\frac{2 \pi}{1}$ which is just $2 \pi$