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)

Question

Responses

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

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

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

shift right 3 units and up 2 units

Answer 1

To translate the vertex from the point \((-3, -2)\) to the point \((0, 0)\), we need to determine how to move the x-coordinate from \(-3\) to \(0\) and the y-coordinate from \(-2\) to \(0\).

1. For the x-coordinate:

   • To move from \(-3\) to \(0\), we need to shift to the right by \(3\) units.

2. For the y-coordinate:

   • To move from \(-2\) to \(0\), we need to shift up by \(2\) units.

Combining these two movements, we find that the correct transformation is to shift right 3 units and up 2 units.

None of the options provided exactly match this transformation. However, the closest response is:

• shift right 3 units and up 2 units.

Make sure to check the wording of the problems and options. If the choice "shift right 3 units and up 2 units" or a similar option was presented, that would be the correct answer.