Answer:
Midline is [tex]d=-0.6[/tex]
Final equation is [tex]f(x)=4.6cos(x+3)-0.6[/tex]
Step-by-step explanation:
General Sinusodal Function
[tex]f(x)=a*cos(bx+c)+d[/tex]
- Amplitude: [tex]a[/tex]
- Period: [tex]\frac{2\pi}{|b|}[/tex]
- Phase Shift: [tex]-\frac{c}{b}[/tex]
- Midline: [tex]Max-a=d[/tex]
Given Information
- Amplitude: [tex]a=4.6[/tex]
- Period: [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=\frac{2\pi}{1}=2\pi[/tex]
- Phase Shift: [tex]-\frac{c}{b}= -\frac{-3}{1}=-(-3)=3[/tex]
- Midline: [tex]d=Max-a=4-4.6=-0.6[/tex]
Final equation
[tex]f(x)=4.6cos(x+3)-0.6[/tex]
