Question

Write an equation that describes the function f(x) = (x + 1)
3 shifted to the left 3 units.

Answer 1

To shift the function \( f(x) = (x + 1)^3 \) to the left by 3 units, you will need to replace \( x \) with \( x + 3 \) in the function.

Thus, the new equation will be:

\[
f(x) = ((x + 3) + 1)^3
\]

This simplifies to:

\[
f(x) = (x + 4)^3
\]

So, the function \( f(x) = (x + 4)^3 \) represents the original function shifted to the left by 3 units.