Find the value of $A$, $n$ and $b$ if $y=A\sin(nt)+b$ has range $[2,8]$ and period $\frac{2\pi}{3}$.

A function with rule $y=A\sin(nt)+b$ has range $[2,8]$ and period $\frac{2\pi}{3}$. Find the value of $A$, $n$ and $b$.

According to the teacher tip

• Do Dilations before translations
  

But found translations first and I got $n$ , it is right?

$\frac{2\pi}{3}n$=$2\pi$
$n=3$

But I don't know how to find $A$ and $b$.
Many thanks.