Question

A quadratic function on a graph has the vertex at the point (−3,−2)
(
−
3
,
−
2
)
. Which of the following transformations translates the vertex to the point (0,0)
(
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 up 2 units
shift right 3 units and up 2 units

shift left 3 units and up 2 units
shift left 3 units and up 2 units

shift right 3 units and down 2 units

Answer 1

To determine the correct transformation that translates the vertex of the quadratic function from the point \((-3, -2)\) to the point \((0, 0)\), we can analyze the movement of the vertex.

1. **Starting point:** \((-3, -2)\)
2. **Ending point:** \((0, 0)\)

To find the translation:

- **For the x-coordinate:**
- From \(-3\) to \(0\), we need to move **right 3 units**.

- **For the y-coordinate:**
- From \(-2\) to \(0\), we need to move **up 2 units**.

Putting this together:
- We shift **right 3 units** and **up 2 units**.

Therefore, the correct transformation is:

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