Avi K. answered • 12/27/20
Tutor
New to Wyzant
Experienced Engineer with Extensive Mathematics Background
The general form for a cosine function is A*cos(2*pi*x / T) + B. A represents the amplitude, T represents the period, and B represents a constant vertical shift, which represents the midline (the cosine function by itself has a midline of 0). Plugging in your input values, we get the function y = 2*cos(2*pi*x / 1) + 3.
Avi K.
Yes, though this solution ends up being identical. The only difference here is C, the phase term, which for simplicity we can set to 0 since it wasn't specified in the problem statement.
Report
12/27/20
Mark M.
Your "standard form" has 2pi where B should be and B where D should b. A student needs to have consistency to identify forms even though a part of the form me be zero.
Report
12/27/20
Mark M.
The standard form is f(x) = A(Bx + C) + D. The period is 2pi / |B|.12/27/20