What transformations were applied to the graph of the parent function y=tan(x) to produce the function graphed below?A. a horizontal compression to produce a period of 2pi/3 and a horizontal translation of pi/4 to the left.B. a horizontal compression to produce a period of 2pi/3 and a horizontal translation of pi/4 units to the right.C. a horizontal stretch to produce a period of 3pi/2 and a horizontal translation of pi/4 units to the left.D. a horizontal stretch to produce a period of 3pi/2 and a horizontal translation of pi/4 units to the right
Accepted Solution
A:
Answer:It's D.Step-by-step explanation: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.