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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

What transformations were applied to the graph of the parent function ytanx to produce the function graphed below A a horizontal compression to produce a period class=

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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.

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Answer:

D) A horizontal stretch to produce a period of [tex]\frac{3\pi }{2}[/tex] and a horizontal translation [tex]\frac{\pi }{4}[/tex] units to the right.  

Step-by-step explanation:

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

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