What is the period and amplitude for $y=2 sin x$ ?

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Answer 1 · 2015-06-11T21:06:17

The general formula for $sinx$ is:

$Asin(kx+phi) + h$

$A$ is the amplitude
$k$ is some coefficient
$phi$ is the phase shift or horizontal shift
$h$ is the vertical shift

$y = 2sinx$ lines up to be $A = 2$ , $k = 1$ , $phi = 0$ , and $h = 0$ .

The period is defined as $T = (2pi)/k$ , so therefore, the period is just $2pi$ . The amplitude, of course, is $2$ , since $A = 2$ .

What is the period and amplitude for y=2 sin xy=2 sin x?