The answer is C. Since 414 is an even number, it is divisible by 2. Since 115 ends in 5, it is divisible by 5. And 273 is divisible by 3 (if you add all the digits and that number is divisible by 3, so it the originals. 2+7+3=12 12/3=4)
The graph of tan x passes through (0,0) whereas this graph passes through the point (pi/4 , 0) so it a horizontal translation to the right. We see that the period is 6 units along the x axis which is 6 * pi/4 = 3 pi/2.
