Question

State the order and type of each transformation of the graph of the function

ƒ(x) = (5(x – 1))3 – 2 as compared to the graph of the base function.


right 1 unit, vertical stretch by a factor if 5, down 2 units



right 1 unit, down 2 units, vertical stretch by a factor if 5

Answer 1

The base function is
`y=x^3`.

1 step: when translating graph of the base function 1 unit right, you obtain the graph of function
`y=(x-1)^3`.

2. 2 step: if you vertically stretch the graph of the function
`y=(x-1)^3` by a factor 5, then you obtain the graph of function
`y=5(x-1)^3`.

3. 3 step: translating graph of the function
`y=5(x-1)^3` 2 units down you receive the graph of the function
`y=5(x-1)^3-2`.

Answer: the correct choice is A.