7ωω/ 12+φ= 3π/2②ω=2 Substitute ω= 2 from ②-① into ① φ= π/3.
From the highest point and the lowest point, A+B=3③.
-A+B =-54③+④ to get B=- 1, A=4.
y=4sin(2x+ π/3)- 1
Amplitude A=4 Frequency f=ω/2π=2/2π= 1/π Initial phase φ= π/3.