9514 1404 393
Answer:
y = -3sin(πx/5) -6
Step-by-step explanation:
The first given point tells you the function is a sine (not a cosine) function, and that its offset is -6.
The second given point tells you the first peak is at x=2.5, so the argument of the sine function is π/2 when x=2.5: (πx/5). Since that peak is 3 units lower than the midline, the amplitude is -3.
The formula for the function is ...
y = -3·sin(πx/5) -6
