contestada

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)

Respuesta :

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

[tex]f(x)=\tan x[/tex]

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

Then the function becomes

[tex]g(x)=\tan (\frac{1}{2}x)[/tex]

After that it is reflected over x-axis.

[tex]g(x)=-\tan (\frac{1}{2}x)[/tex]

Answer :

Hence the result of the transformation is

[tex]g(x)=-\tan (\frac{1}{2}x)[/tex]

The correct option is D.