PrecalculusHard SharePrecalculus · Hard problemWrite an equation y=asin (b(x−c))+dy=a\sin\!\big(b(x-c)\big)+dy=asin(b(x−c))+d for a sine curve with amplitude 444, period 2π3\dfrac{2\pi}{3}32π, phase shift π6\dfrac{\pi}{6}6π to the right, and midline y=2y=2y=2.A4sin (3(x−π6))−24\sin\!\big(3(x-\tfrac{\pi}{6})\big)-24sin(3(x−6π))−2B4sin (3(x−6π))+24\sin\!\big(3(x-\tfrac{6}{\pi})\big)+24sin(3(x−π6))+2C4sin (3(x−π6))+34\sin\!\big(3(x-\tfrac{\pi}{6})\big)+34sin(3(x−6π))+3D4sin (3(x−π6))+24\sin\!\big(3(x-\tfrac{\pi}{6})\big)+24sin(3(x−6π))+2Check Show answer Walk through it step by step Practice more like this