Question

Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represent the transformed function?

Answer 1

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Correct Answer is (Option D)

Explanation:

Answer 2

The correct option is - D.

Explanation:

To find - Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represent the transformed function?

Solution -

We know that,

The parent tangent function is -

f(x) = tan(x)

Period of Parent function =
`\pi`

Now,

If Period is half,

Then

The function is transformed to

f(x) = tan(2x)

So,

The graph becomes

The correct option is - D.