NZ Level 7 (NZC) Level 2 (NCEA)
Transformations of tangent curves and equations

## Interactive practice questions

How has the graph $y=3\tan x$y=3tanx been transformed from $y=\tan x$y=tanx?

Choose one of the following options:

Vertical dilation by a scale factor of $3$3.

A

Horizontal dilation by a scale factor of $3$3.

B

Horizontal translation by $3$3 to the right.

C

Vertical dilation by a scale factor of $\frac{1}{3}$13.

D

Vertical dilation by a scale factor of $3$3.

A

Horizontal dilation by a scale factor of $3$3.

B

Horizontal translation by $3$3 to the right.

C

Vertical dilation by a scale factor of $\frac{1}{3}$13.

D
Easy
Less than a minute

How has the graph $y=\tan x+4$y=tanx+4 been transformed from $y=\tan x$y=tanx?

How has the graph $y=\tan9x$y=tan9x been transformed from $y=\tan x$y=tanx?

How has the graph $y=\tan\left(2x-60\right)$y=tan(2x60) been transformed from $y=\tan x$y=tanx?

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems