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

1 answer

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.