Question

The graph of a sinusoidal function intersects its midline at (0, -3) and then has a maximum point at
(2,-1.5).
Write the formula of the function, where x is entered in radians

Answer 1

The formula of the function when the graph is analyzed will be y =1.5sin[(pi/4)x] - 3.

How to explain the function?

From the graph, the mid line is y = -3 and the amplitude will be:

= -1.5 - (-3)

= 1.5

From the mean line to the max is ¼ of a cycle. Therefore, the period will be:

= 4 × 2 = 8

Number of cycles in 2pi will be:

= 2pi/8

= pi/4

Hence, the formula of the function will be y= 1.5sin[(pi/4)x] - 3.

Learn more about functions on:

https://brainly.com/question/25638609

#SPJ1

Answer 2

Answer:

f(x)=1.5sin (pie/4 x)-3

Step-by-step explanation:

Kahn academy aproved