Question

Tate 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.

right 1 unit, reflection about the x-axis, up 1 unit

left 1 unit, reflection about the y-axis, up 1 unit

left 1 unit, reflection about the x-axis, up 1 unit

left 1 unit, up 1 unit, reflection about the x-axis

Answer 1

left 1 unit, reflection about the x-axis, up 1 unit

Explanation:

This is a cubic that has been moved left 1 unit because of the (x+1)^3 part.

It also has been moved up one unit because of the plus 1 on the outside of the cube.

There has also been a reflection across the x-axis because of the -1 in front of the -(x+1)^3 part.

In general, g(x-h)+k means:

1) the function g has been moved right (if h is positive) or moved left (if h is negative).

2) the function g has been moved up (if k is positive) or down (if k is negative)