Question

For the function, f(x)1/3(x - 4)^2 + 2, choose all the transformations that are taking place.

Answer 1

As given by the question

There are given that the function:

`f(x)=(1)/(3)(x-4)^2+2`

Now,

To find the transformation, compare the function to the parent function and check it.

Then,

The transformation of the function is shown below:

`\begin{gathered} \text{Parent function=x}^2 \\ \text{Horizontal shift = Right 4 units} \\ \text{Vertica shift = up 2 units} \\ \text{Vertical compression or stretch = Compressed} \end{gathered}`

Hence, the correct option is D.