Trigonometric Graphs

New Zealand

Level 7 - NCEA Level 2

How has the graph $y=3\tan x$`y`=3`t``a``n``x` been transformed from $y=\tan x$`y`=`t``a``n``x`?

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

Easy

Less than a minute

How has the graph $y=\tan x+4$`y`=`t``a``n``x`+4 been transformed from $y=\tan x$`y`=`t``a``n``x`?

How has the graph $y=\tan9x$`y`=`t``a``n`9`x` been transformed from $y=\tan x$`y`=`t``a``n``x`?

How has the graph $y=\tan\left(2x-60\right)$`y`=`t``a``n`(2`x`−60) been transformed from $y=\tan x$`y`=`t``a``n``x`?

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

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