Question

The graph of y = tan ⁡(x − π / 2) compared to the graph of y = tan ⁡x has:

Answer 1

Answer:

Last Option moved $\frac{\pi}{2}$ units right

Step-by-step explanation:

If we have a function f(x) and we want to move it horizontally then we make the transformation:

$y = f (x + h)$

If $h$ then the graph of f(x) moves horizontally h units to the right

If $h> 0$ then the graph of f(x) moves horizontally h units to the left.

In this case we have the function $y = tan (x)$ and the transformation is performed to obtain $y = tan(x- \frac{\pi}{2})$

Notice that in this transformation

$h$

Then the graph of $y = tan (x)$ moves horizontally $\frac{\pi}{2}$ to the right