Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differ
ences? Part 2: Using these similarities and differences, how would you transform f(x) = 3 sin(4x - π) + 4 into a cosine function in the form f(x) = a cos(bx - c) + d?
Part 1: Similarities of sine and cosine graphs are that both has an amplitude of 1 and a period of 2pi. A differences between sin and cos graphs includes that sin graph passes through point (0, 0).
The required cosine graph is <span>f(x) = 3 cos(4x - 3π/2) + 4</span>
1a. It is because each x only has 1 y and it has an equation 1b. It is not a function because each x has more than 1 y. 1c. It is not a function because there can be no equation written for this graph.
