Answer
Quadratic function translated right 2 units and down 1 unit:
$y=(x-2)^2 -1$
Work Step by Step
The function is a quadratic function that has been translated right and down.
Start with the library function: $y=x^2$
To translate to the right by 2, subtract x by 2: $y=(x-2)^2$
Now let's also translate the function down by subtracting the right side of the equation: $y=(x-2)^2 - 1$