# [Math] A cosine function has maximum value of 14 and a minmum value of 4, a period of 7, and a phase shift of 12.

trigonometry

A cosine function has a maximum value of 14 and a minimum value of 4, a period of 7, and a phase shift of 12. Write an equation representing this cosine function…

Could someone tell me if I'am write and if I'am wrong explain why and a solution my answer $y\,\,\, = \,\,\,14\cos 2\pi {{\left( {x\,\, – \,\,12} \right)} \over 7}\,\,\, + \,\,\,2$

If the max value is $14$ and the min value is $4$, what is the midline value? What is the amplitude? Answering these questions will let you fix your errors--specifically, the $+2$ at the end and the $14$. The rest looks good.