The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at [tex](\frac{3\pi }{2},-7)[/tex]
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Learn more about Sinusoidal function here
https://brainly.com/question/12060967
#SPJ2
