Modeling with Trigonometric Functions · Exercise 51

Find a function of the form $y=a{b}^x+csin\left(\frac{\pi }{2}x\right)$ that fits the given data.

$$\begin{array}{ccccc}x& \text{0}& \text{1}& \text{2}& \text{3}\\ y& \text{4}& \text{0}& \text{16}& \text{-40}\end{array}$$

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 51