Answer: d) y = -2 sin 2x
Step-by-step explanation:
The general equation of a sin graph is: y = A sin (Bx - C) + D
Compare the given graph with y = sin x
There are 3 differences:
- the amplitude of the new graph is 2 (A = 2)
- the given graph is reflected over the x-axis (A is negative)
- the period changed from 2π to π (B = 2)
So, the equation of the given graph is: y = -2 sin 2x
