Trigonometric Function Graphs Math Example 2

Solution

1. 1
   Amplitude: $|a|=4$, take $a=4$.
2. 2
   Period: $\frac{2\pi}{b}=6 \Rightarrow b=\frac{2\pi}{6}=\frac{\pi}{3}$.
3. 3
   Phase shift right $1$: $h=1$. Vertical shift down $2$: $k=-2$. Equation: $y=4\cos\!\left(\frac{\pi}{3}(x-1)\right)-2=4\cos\!\left(\frac{\pi x}{3}-\frac{\pi}{3}\right)-2$.