Answer:
y = 2 sin (2x)
Explanation:
the general form of a sine function is:
y = A sin (Bx + C) + D
where:
- A is the amplitude
- B is related to the period by the formula: period = 2pi/B
- C is the phase shift
- D is the vertical shift
Since you want an amplitude of 2, you can set A = 2. Since you want a period of pi, you can set B = 2pi/pi = 2.
y = 2 sin (2x)