Question

Which of the following is the equation of the graph shown below?

A. f(x) = −4sin(x)


B. f(x) = −4cos(x)


C. f(x) = 4cos(x)


D. f(x) = 4sin(x)

Answer 1

a

Explanation:

since cosine 0 is 1 leading to the elimination of both c and b.

sine starts out positive and goes negative after π however the graph shows the opposite leading the answer to be a

Answer 2

A. f(x) = −4sin(x)

Explanation:

The graph that meets the origin and goes down is option A, f(x)=-4sin(x). This is because the sine function oscillates between 1 and -1, and the negative sign in front of the sine function flips the graph upside down. So, the graph starts at the origin at a value of 0, then oscillates down to a minimum value of -4, then oscillates back up to a maximum value of 4, and so on.