Activity 2.4.4.
Determine the exact period, amplitude, and midline of each of the following functions. In addition, state the range of each function, any horizontal shift that has been introduced to the graph, and identify an anchor point. Make your conclusions without consulting Desmos, and then use the program to check your work.
(a)
\(p(x) = \sin(10x) + 2\)
(b)
\(q(x) = -3\cos(0.25x) - 4\)
(c)
\(r(x) = 2\sin\left( \frac{\pi}{4} x\right) + 5\)
(d)
\(w(x) = 2\cos\left( \frac{\pi}{2} (x-3) \right) + 5\)
(e)
\(u(x) = -0.25\sin\left(3x-6\right) + 5\)
