Trigonometric Graphs

New Zealand

Level 7 - NCEA Level 2

Consider the graph of $y=\tan x$`y`=`t``a``n``x` 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

Easy

Less than a minute

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

Consider the graph of $y=\tan x$`y`=`t``a``n``x` 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`)=`t``a``n``x` change as we apply a phase shift to produce the graph of $g\left(x\right)=\tan\left(x-60^\circ\right)$`g`(`x`)=`t``a``n`(`x`−60°).

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