Question: The function f(x) = asin(2x 12) + 1 is reflected in the x-axis and shifted 30 units left, which results in a new function, g(x).

  1. The function f(x) = asin(2x 12) + 1 is reflected in the x-axis and shifted 30 units left, which results in a new function, g(x). If g(21) = 3/2 determine the EXACT VALUE of the amplitude, a.
  2. Graph two cycles of f(x) = 3 cos(4x 120) + 4 on the grid below. Show all key points and complete the table.

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