Question

Graph function 1/2y=sin(3x+180)

Answer 1

Answer:

Graph is shown below

Step-by-step explanation:

We have the function, $\frac{1}{2}y=sin(3x+180)$

That is, $y=2sin(3x+180)$

We see that,

If a function f(x) has period P, then cf(bx) will have period $\frac{P}{|b|}$.

Since, the $y=\sin x$ has period $2\pi$, then the given function have period $\frac{2\pi}{3}$.

The given sine function has period $\frac{2\pi}{3}$ and amplitude 2.

Hence, the graph of the function is shown below.

Answer 2

Answer:

The graph of the given function is shown below.

Step-by-step explanation:

The given function is

$\frac{1}{2}y=\sin (3x+180)$

Multiply both sides by 2.

$y=2\sin (3x+180)$      ....(1)

The general form of sine function is

$f(x)=a\sin(bx+c)+d$    ....(2)

Where, a is altitude, b is period, c is phase shift and d is vertical shift.

On comparing (1) and (2), we get

$a=2,b=3,c=180$

it means the altitude of the function is 2, period is 3 and phase shift is 180.

The graph of the given function is shown below.