Answer
Cubic function translated left by 1 and up by 2:
$y=(x+1)^3 +2$
Work Step by Step
The graph is a cubic function translated left and up.
Start with the library function: $y=x^3$
To translate left by 1, add 1 to x: $y=(x+1)^3$
Then to translate up by 2, add 2 to the right side of the equation: $y=(x+1)^3 +2$