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

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 right 3 units and up 2 units

1 answer

To translate the vertex of the quadratic function from \((-3, -2)\) to \( (0, 0)\), we need to determine the horizontal and vertical shifts.

  1. Horizontal Shift: From \( -3\) to \( 0\), we move to the right by 3 units.
  2. Vertical Shift: From \( -2\) to \( 0\), we move up by 2 units.

Thus, the combination of these shifts is to shift right 3 units and up 2 units.

The correct answer is: shift right 3 units and up 2 units.