Question

Find A and D for the function f(x)= a cos(x) + d such that the graph of f matches the figure.

Answer 1

Using sinusoidal function concepts, it is found that the values are A = 2 and D = 2.

What is a sinusoidal function?

The cosine function, with standard period, is represented by:

$y = A\cos{x} + D$

In which:

• $2A$ is the amplitude, which is the difference between the largest and smallest value.

• D is the vertical shift, considering that the standard cosine function has range between -A and A.

In this problem, the amplitude is of 4 - 0 = 4, hence:

$2A = 4$

$A = \frac{4}{2}$

$A = 2$

The standard function has range between -2 and 2, in this problem it is between 0 and 4, hence the vertical shift up is of 2 units, that is, D = 2.

You can learn more about sinusoidal function concepts at brainly.com/question/26131720