Question

Explain how the graph of y=-3tan(1/2x) is related to the graph of the basic trigonometric function y =tan x

Answer 1

Explanation:

What kind of reflection does the basic function experience?

Answer: It will reflected over the x axis

What is the vertical stretch factor of the function R(x)?

Answer: 3

What is the period of the function R(x)?

Answer: 2pi

Answer 2

The shapes of the 2 graphs are the same. However, because x has a fractional coefficient between 0 and 1, the period of the graphed function is twice as long (that is, 2pi instead of pi), and the graph has been reflected about the x-axis and then stretched vertically by a factor of 3.