Question

Graph a possible sine or cosine function with an amplitude of 3 and a midline at 1.

Answer 1

$y=3\sin(x)+1$

1) We need to recap the general formula for sinusoidal functions. So let's see how it works below:

$y=a\sin(b(x-h))+k$

2) Amplitude can be defined as:

So, we can start out plugging into that general formula A= 3

$y=3\sin(b(x-h))+k$

3) On the other hand, the Midline can be also defined as:

Based on that, we can write out this function's rule:

$y=3\sin(x)+1$

Note the midline is halfway the maximum and the minimum point