ANSWERS
• Equation: ,y = 4 sin(8x)
,
• Graph (1 cycle):
Step-by-step explanation
In the form of the equation of a sine function,

The coefficient a is the amplitude of the curve and b is related to the period as follows,

We know that the amplitude is 4, so a = 4. If the period is π/4,

Solving for b,

Hence, the equation is y = 4 sin(8x).