Question

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 \( x + 3 \).

Thus, the equation becomes:

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

So the final form you are looking for is:

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

In the form \( f(x) = (x + _)^3 + _ \):

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

Here, the values that fit in the blanks are \( 4 \) and \( 0 \), respectively.