Graphs of the Sine and Cosine Functions · Exercise 20

Graph one full period of each function, starting at $x=0.$ For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their corresponding x-values on one period for $x>0.$ State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary.

$f\left(t\right)=4cos\left(2\left(t+\frac{\pi }{4}\right)\right)-3$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §8.1 Graphs of the Sine and Cosine Functions · Exercise 20