Write an equation that describes the function f(x)=(x+1)3

Question

𝑓
(
𝑥
)
=
(
𝑥
+
1
)
3
shifted to the left 3 units.(1 po

Answer 1

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

The new equation will be:

\[ f(x) = (x + 3 + 1)^3 = (x + 4)^3 \]

Thus, the function shifted 3 units to the left is:

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