Question

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

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

Answer 1

steps below (C)

Explanation:

1. x³ -> (x+1)³ ... horizontal translation left 1 unit

2. (x+1)³ -> -(x+1)³ .... reflection over x axis

3. -(x+1)³ -> -(x+1)³ + 1 ... vertical translation up 1 unit