Question

The graph of y=tan{1/4(x-pi/2)}+1 is shown what is the period of the function

Answer 1

Answer:

The period is : 4pi

The asymptotes are: 5pi/2 + 4npi

The x-intercepts are: 7pi/2 + 4npi

I had a hard with this assignment, so here are the answers for the whole thing:

1.) [A]   vertical shift

2.) [D]  horizontal stretch

3.) given in the original answer

4.) [C]   y = 3tan(x) + 2

5.)  reflected across the x-axis

     shifted 3 units down

     stretched vertically

     shifted 4 units left

6.)  [D]   y = -tan(x - pi/2)

7.)Start by graphing the tangent function.Compress the graph horizontally by making the period one-half pi.Reflect the graph over the x-axis.Shift the graph up 3 units

Answer 2

$\pi \div \frac{1}{4} = 4\pi$