Question

Write a cosine function that has a midline of 3, an amplitude of 2 and a period of 7/8

Answer 1

$\begin{gathered} \text{ In the equation } \\ m+A\cos (wx) \\ m\text{ is the midline, A is the amplitude and w is the frequency} \\ w\cdot\text{period}=2\pi \\ \frac{7}{8}w=2\pi \\ m=3,A=2,w=\frac{16}{7}\pi \\ then\text{ the function is} \\ 3+2\cos (\frac{16}{7}\pi x) \\ \end{gathered}$