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

Answer:

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

Step-by-step 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.