Use the graph below to answer the question that follows:
what trigonometric function represents the graph?

f(x) = −3 sin(x − pi over 2)
f(x) = −3 cos(x − pi over 2)
f(x) = 3 cos(x − pi over 2)
f(x) = 3 sin(x − pi over 2)

Option

c

Step-by-step explanation:

Given is a graph which has maximum at 3 and minimum at -3.

X intercepts are 0, pi, 2pi and 3pi

Period = 2pi

We know that sin curve has x intercepts as multiples of pi but when there is a phase shift of pi/2 we see that cos curve is the most appropriate

Since amptlitude is 3, and middle line is x axis,

we have y = 3 * trig function with coefficient 1 for x

Hence appropriate function is

f(x) = 3cos (x-pi/2)

Option C would be correct.