(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude       period       horizontal shift           (b) Write an equation that represents the curve in the form y = a cos(k(x − b)).

The given function models the displacement of an object moving in simple harmonic motion. y = 6 sin(2t) (a) Find the amplitude, period, and frequency of the motion. amplitude           period           frequency           (b) Sketch a graph of the displacement of the object over one complete period.

Sketch the graph of the function defined by the equation . Indicate the image, amplitude, period and phase shift of this function.

Graph f(x) = -3 cos x + 3 for two periods and determine the amplitude, period, and midline. Enter the exact answers. Amplitude: A = Number Period: P: = Midline: y Number =