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

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.

D) A horizontal stretch to produce a period of and a horizontal translation units to the right.  

Step-by-step explanation:

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

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6