Question

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

Answer 1

D) A horizontal stretch to produce a period of
`(3\pi )/(2)` and a horizontal translation
`(\pi )/(4)` units to the right.

Explanation:

this is the correct answer on ed-genuity, hope this helps! :)

Answer 2

It's D.

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.