Question

How do I determine the amplitude and period of this? y= sin 4x

Answer 1

the amplitude is the numerical coefficient that precedes the sine function. In this case, it is 1 since there is no number preceding the sin. The period is 2pi/the numerical coefficient of x. In this case it is 4

Answer 2

The period of a sin function could be found by using the formula \[\frac{b}{2 \pi}\]

Answer 3

amplitude = maximum - equation of axis

Answer 4

y=asin(kx)
our a is the amplitude in this case our a is 1 so our amplitude is 1

Answer 5

our period = 360/k
our k in this case is 4
360/4=90 degrees so our period is 90 degrees

Answer 6

And the amplitude would be 4.

Let's take a look at the basic sin function, \[f(x) = sin(x)\]

We know that the max and the min of this function is -1 and 1, amplitude 1
Then the constant changed for 4
\[4*1 =4\]