New Zealand
Level 8 - NCEA Level 3

# Phase shifts for tangents

## Interactive practice questions

Consider the graph of $y=\tan x$y=tanx and state whether the following sentence is true or false.

A phase shift has the same effect as a horizontal translation.

True

A

False

B

True

A

False

B
Easy
Less than a minute

Consider the graph of $y=\tan x$y=tanx and state whether the following sentence is true or false.

Consider the graph of $y=\tan x$y=tanx and state whether the following sentence is true or false.

We want to identify how the coordinates of key points on the graph of $f\left(x\right)=\tan x$f(x)=tanx change as we apply a phase shift to produce the graph of $g\left(x\right)=\tan\left(x-\frac{\pi}{3}\right)$g(x)=tan(xπ3).

### Outcomes

#### M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions