The graph of one complete period of a cosine curve is given. Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.

Question

(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)).

y=_____________

Answer 1

(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)

amplitude= __1/4______

period=____π____

horizontal shift=__π/4______

(b) Write an equation that represents the curve in the form

y = a cos(k(x − b)).

y= 1/4 cos(π(x-π/4))