Question

A quadratic function on a graph has the vertex at the point (−3,−2)
. Which of the following transformations translates the vertex to the point (0,0)
? (1 point)
Responses

shift left 2 units and down 3 units
shift left 2 units and down 3 units

shift right 3 units and down 2 units
shift right 3 units and down 2 units

shift right 3 units and up 2 units
shift right 3 units and up 2 units

shift left 3 units and up 2 units

Answer 1

To translate the vertex of the quadratic function from the point (-3, -2) to the point (0, 0), we need to determine how many units to shift both horizontally and vertically.

1. **Horizontal Shift**: From -3 to 0, we need to shift 3 units to the right.
2. **Vertical Shift**: From -2 to 0, we need to shift 2 units up.

Thus, the correct transformation is:

**Shift right 3 units and up 2 units.**

So, the answer is:

**shift right 3 units and up 2 units.**