NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Transformations of tangent curves and equations

## Interactive practice questions

How has the graph $y=5\tan x$y=5tanx been transformed from $y=\tan x$y=tanx?

Choose one of the following options:

Vertical dilation by a scale factor of $5$5.

A

Horizontal dilation by a scale factor of $5$5.

B

Vertical dilation by a scale factor of $\frac{1}{5}$15.

C

Horizontal translation by $5$5 to the right.

D

Vertical dilation by a scale factor of $5$5.

A

Horizontal dilation by a scale factor of $5$5.

B

Vertical dilation by a scale factor of $\frac{1}{5}$15.

C

Horizontal translation by $5$5 to the right.

D
Easy
Less than a minute

How has the graph $y=\tan x+2$y=tanx+2 been transformed from $y=\tan x$y=tanx?

How has the graph $y=\tan4x$y=tan4x been transformed from $y=\tan x$y=tanx?

How has the graph $y=\tan\left(2x-\frac{\pi}{4}\right)$y=tan(2xπ4) been transformed from $y=\tan x$y=tanx?

### Outcomes

#### M8-2

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