Question

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?

Answer 1

Answer:

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.