Question

99 POINTS ,Correct answer

If the parent function is f(x) = x3, which transformed function is shown in the graph?


g(x) = (x − 3)3



g(x) = (x + 3)3



g(x) = x3 + 3



g(x) = x3 − 3

Answer 1

g(x) = (x - 3)3

Explanation:

Compare to the parent function of f(x) = x3, the displayed graph is shifted to the "left" by 3 units so it is a translation in the x-direction.

The answer is g(x) = (x - 3)3

Answer 2

Explanation:

from the graph, y=0 when x=3

so that eliminates:

g(x) = (x + 3)3

g(x) = x3 + 3

g(x) = x3 − 3

ans is g(x) = (x-3)^3