Question

The manager recognizes that the data approximates a transformation of the parent sine function, y = sin ⁡ ( x ) . which value is closest to the midline of the transformed function? a. 20

b. 14
c. 17
d. 24

Answer 1

The value closest to the midline of the transformed function is 24.

Step-by-step explanation:

The midline of the transformed function can be found by considering the equation y = sin(x). In this equation, the midline is the horizontal line halfway between the maximum and minimum values of the sine function. The midline is given by the equation y = 0.

To find the closest value to the midline among the given options, we can substitute each value into the equation y = 0 and calculate the result. The value that gives us a result closest to 0 is the closest to the midline.

Let's substitute each option into the equation:
a. y = sin(20) = 0.912
b. y = sin(14) = 0.990
c. y = sin(17) = 0.959
d. y = sin(24) = 0.906

The value closest to 0 is option d, which is 0.906. Therefore, option d (24) is the closest value to the midline.