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CanadaON
Grade 12

Phase shifts for tangents curves

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
Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min

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).

Easy
6min
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Outcomes

12F.B.2.2

Make connections between the tangent ratio and the tangent function by using technology to graph the relationship between angles in radians and their tangent ratios and defining this relationship as the function f(x) = tan x, and describe key properties of the tangent function

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