Question

How do you find the amplitude and period of a function `y = sin (pix - 1/2)`?

Answer 1

Amplitude: 1
Period: 2

Explanation:

Sin functions are written on a common form:
`A sin(bx + c) + d`

Where A signifies the amplitude (`"top value - bottom value"/2`)
b affects the frequency
c signifies the horisontal shift
d signifies the vertical shift

You can find the amplitude by looking at the coifficient before `"sin"`. In this case, the amplitude is 1.

The period is defined by `(2pi)/b`
In this case: `(2pi) / pi = (2cancel(pi))/(cancel(pi)) = 2`