To determine the transformation that translates the vertex of the quadratic function from \((-3, -2)\) to \((0, 0)\), we need to analyze the movements on the coordinate plane.
- From (-3, -2) to (0, 0):
- The x-coordinate changes from \(-3\) to \(0\). This is a movement to the right by \(3\) units (\(0 - (-3) = 3\)).
- The y-coordinate changes from \(-2\) to \(0\). This is a movement up by \(2\) units (\(0 - (-2) = 2\)).
Based on this analysis, the correct transformation that translates the vertex from \((-3, -2)\) to \((0, 0)\) is:
Shift right 3 units and up 2 units.