Question

The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Which equation could represent function g.the result of this transformation?OA. g(x) = -tan(2x)O B. g(x) = tan(-1/2x)OC. g(x) = tan(-2x)OD. g(x) = -tan(1/2x)

Answer 1

Given :

The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis.

Explanation :

To find the equation of g.

The tangent function is

`f(x)=\tan x`

It is horizontally compressed by a factor of 1/2.

Then the function becomes

`g(x)=\tan ((1)/(2)x)`

After that it is reflected over x-axis.

`g(x)=-\tan ((1)/(2)x)`

Answer :

Hence the result of the transformation is

`g(x)=-\tan ((1)/(2)x)`

The correct option is D.