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

Question

shifted to the left 3 units.(1 point)
f(x)=
(x+
)^3+
Remaining Att

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.

So the new function becomes:

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

This simplifies to:

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

Therefore, the equation describing the function shifted to the left by 3 units is:

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

So, filling in the blanks:

\[ f(x) = (x + 4)^3 + 0 \]