Question

Which transformations to the graph of j(x) would result in the graph of j(4x)-27

Answer 1

Answer: Option D

Horizontal compression by a factor of 1/4, and a translation 27 units down

Answer 2

Composition and vertical translation must be done in the parent function.

Explanation:

Let be
`j(x)` the parent function, if
`g(x) = j(4\cdot x) -27`, then two transformation must be done in the following order:

Composition

`j \circ h (x) \rightarrow j(h(x))`, where
`h(x) = 4\cdot x`

Vertical translation

`g(x) = j(4\cdot x) -27`

Composition and vertical translation must be done in the parent function.