Answer: b) y = -2 sin x + 2
Step-by-step explanation:
The standard equation for a sine graph is: y = A sin (Bx - C) + D
[tex]\text{Amplitude (A) = }\dfrac{max-min}{2}=\dfrac{4-0}{2}=\dfrac{4}{2}=2\\\\\\\text{Vertical Shift (D) = max - amplitude = }4 - 2 = 2[/tex]
A sine graph starts at the origin and tends upward. The given graph stars at the origin and tends downward so it is a reflection → - sin x
⇒ y = -2 sin x + 2
