Question

f is a trigonometric function of the form
f(x) = a cos(bx + c) + d.
Below is the graph of f(a). The function has a maximum
point at (-2, -3) and a minimum point at (–2.5, -9).
Find a formula for f(x). Give an exact expression.
f(x) =

Answer 1

Answer:

the answer of this question is -5

Step-by-step explanation:

-2-3= -5

Answer 2

The function is f(x) = 3cos(2πx)—6 if the function has a maximum

point at (-2, -3) and a minimum point at (–2.5, -9).

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Midline line y = -6

a = |-6-(-3)| = 3

d = -6 (midline)

Difference = |-3 + 2| = 1

b = 2π/1 = 2π

By plugging points in the equation, we get

c = 0

The equation become:

$\rm y\ =\ 3\cos\left(2\pi x)-6$

Thus, the function is f(x) = 3cos(2πx)—6 if the function has a maximum

point at (-2, -3) and a minimum point at (–2.5, -9).

Learn more about trigonometry here:

brainly.com/question/26719838

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