State the period, phase shift, and vertical shift of the function y=tan(theta/2-pi/4)+3.

Question

State the period, phase shift, and vertical shift of the function y=tan(theta/2-pi/4)+3.

Is this right?

ANSWER: period:2pi
phase shift:-pi/4
vertical shift:3

Answer 1

The period is 4 pi since than is how much teta must increases to increase the argument,(theta/2- pi/4), by 2 pi.

The phase shift (to the right on a graph) is pi/4, not -pi/4. That is how much the trig function shifts to the right. Think about it.

You got the vertical shift right.

Answer 2

r u in ashworth doin the high school?

Answer 3

Yes, your answer is correct. The period of the function y = tan(theta/2 - pi/4) + 3 is 2pi. The phase shift is -pi/4, which means that the graph of the function is shifted horizontally to the right by pi/4 units. The vertical shift is 3, which means that the graph is shifted vertically upwards by 3 units.