Question

Below is the graph of a trigonometric function. It has a maximum point at (-3,4) and an amplitude of 4.6.

Answer 1

Answer:

Midline is $d=-0.6$

Final equation is $f(x)=4.6cos(x+3)-0.6$

Step-by-step explanation:

General Sinusodal Function

$f(x)=a*cos(bx+c)+d$

• Amplitude: $a$
• Period: $\frac{2\pi}{|b|}$
• Phase Shift: $-\frac{c}{b}$
• Midline: $Max-a=d$

Given Information

• Amplitude: $a=4.6$
• Period: $\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=\frac{2\pi}{1}=2\pi$
• Phase Shift: $-\frac{c}{b}= -\frac{-3}{1}=-(-3)=3$
• Midline: $d=Max-a=4-4.6=-0.6$

Final equation

$f(x)=4.6cos(x+3)-0.6$