Question

Write the equation of the trigonometric graph.54321-бл-92-3л3лбл3л2ул3д212л9215221л22721215-2-3-4

Answer 1

We start from Y = Sin(X) , where the amplitude is 1 and the period is 2(pie)

In this problem, we can see the amplitude is

$A=\frac{2-(-2)}{2}=\frac{4}{2}=2$

and the period is

$\frac{15}{2}\pi-\frac{3}{2}\pi=6\pi$

When the period is 6*pie, the value of X in Sin(X) changes to X/3. Therefore, We obtain Sin(x/3)

In conclusion, the equation for this graph is

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