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Grade 12

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
Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min
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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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