Write a sine function with a positive vertical displacement given the following information: the amplitude is 6, the horizontal shift is 12 to the left, y-intercept is (0,3), and the period is 8. $\circ f(x) = 6\sin(\frac{\pi}{4}x - 3\pi) - 3$ $\circ f(x) = 6\sin(\frac{1}{4}x + 3\pi) - 3$ $\circ f(x) = 6\sin(\frac{1}{4}x - 3\pi) + 3$ $\circ f(x) = 6\sin(\frac{\pi}{4}x + 3\pi) + 3$ $\circ f(x) = 6\sin(\frac{\pi}{8}x + 3\pi) + 3$

          Write a sine function with a positive vertical displacement given the following information: the amplitude is 6, the horizontal shift is 12 to the left, y-intercept is (0,3), and the period is 8.
$\circ f(x) = 6\sin(\frac{\pi}{4}x - 3\pi) - 3$
$\circ f(x) = 6\sin(\frac{1}{4}x + 3\pi) - 3$
$\circ f(x) = 6\sin(\frac{1}{4}x - 3\pi) + 3$
$\circ f(x) = 6\sin(\frac{\pi}{4}x + 3\pi) + 3$
$\circ f(x) = 6\sin(\frac{\pi}{8}x + 3\pi) + 3$