Another mathme do this question and explain how you answer it !

Step-by-step explanation:

The equation of cosine function will be

Find

The minimum y is the maximum  y is so

Find

The period of the function is so

Find

At

Function at has the value so [translate by one-fourth of the period]

Find

The graph has the midline so

Hence,

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the 4th choice is the correct one

step-by-step explanation: