A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is a not a reflection of its parent function over the x-axis. Which function could be the function described?

Step-by-step explanation:

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The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = , and so b = = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

Therefore, the correct option is C).

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answer

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