Question

Given the parent function f(x) = x3, the function g(x) = (x - 1)3 - 2 is the result of a shift of f(x)1) 1 unit left and 2 units down 2) 1 unit left and 2 units up 3) 1 unit right and 2 units down4) 1 unit right and 2 units up

Answer 1

Answer

Option 3 is correct.

Explanation

The function f(x) is given as

f(x) = x³

g(x) = (x - 1)³ - 2

We are then asked to examine how f(x) must have been shifted to get g(x).

When