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

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 equation.

So, the new function will be:

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

This simplifies to:

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

Therefore, the final answer is:

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

If you want to express it in the form \( f(x) = (x + __)^3 + __ \), it would be:

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

So, \( f(x) = (x + 4)^3 + 0 \).