Question

How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?

g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.

Answer 1

The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

How to compare the graphs?

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The transformation from f(x) to g(x) can be represented as:

x -> x -2

f(x) -> f(x) + 6

This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.

Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

Read more about function transformations at:

https://brainly.com/question/17586310

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