# 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.

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Cin Sb Sangpi 2022-07-25 20:46:37

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