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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 up 2 units
shift right 3 units and up 2 units

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

1 answer

To translate the vertex of a quadratic function from the point \((-3, -2)\) to the point \((0, 0)\), we need to determine the changes in the x-coordinate and y-coordinate.

  1. Translate from x = -3 to x = 0: This is a shift to the right by \(3\) units (since \(0 - (-3) = 3\)).
  2. Translate from y = -2 to y = 0: This is a shift up by \(2\) units (since \(0 - (-2) = 2\)).

Therefore, the correct transformation is: shift right 3 units and up 2 units.