Question

Select the correct answer.

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?

Answer 1

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

Explanation:

Tangent function:

The tangent function is:

`f(x) = tan(x)`

Horizontally compressed by a factor of 1/2

Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So

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

Reflected over the x-axis.

Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:

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