Question 1128231
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With a maximum of 10 and a minimum of -4, the center line is y=3 and the amplitude is 7.  In all of the answer choices the "7" and "3" are in the right place.<br>
The period of sin(kx) or cos(kx) is 2pi/k.  With the given answer choices, the period is then either 2pi/4pi = 1/2 or 2pi/4 = pi/2.
A period of 12 is not possible with the given answer choices.  Apparently the period is supposed to be 1/2 instead of 12.<br>
It would be polite to make sure you have shown your question correctly before posting.....<br>
So assuming the period is supposed to be 1/2, then the answer has to involve either sin((4pi)x) or cos((4pi)x).  Since the y-intercept of 3 is the center line of the function, the function is a sine function.<br>
ANSWER: f(x) = 7sin((4pi)x)+3