Use the graph below to answer the question that follows:

trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4 and 5 pi over 2, 0 and 3 pi, 4

what trigonometric function represents the graph?

f(x) = 4 sin(x − pi over 2)
f(x) = 4 cos(x − pi over 2)
f(x) = 4 sin(x − pi over 2) + 1
f(x) = 4 cos(x − pi over 2) + 1

The trignometric function that best represents the graph is:

Step-by-step explanation:

It is given that the trignometric function passes through:

(0,-4) , (π/2,0) , (π,4) , (3π/2,0) , (2π,-4) and (5π/2,0) and (3π,4)

We will check these points in each of the given options and see what holds true.

2)

When we put x=0 we obtain:

Hence, option 2 is incorrect.

3)

When we put x=0 we get:

Hence, option 3 is incorrect.

4)

When we put x=0 we obtain:

Hence, option 4 is incorrect.

1)

When we put each of the x-value we see that the y-value also holds.

Hence, option 1 is true.

Also we can see in the graph.