A quadratic function on a graph has the vertex at the point (−3,−2)

Question

(
−
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.