Question

A quadratic equation on a graph has the vertex (−5,5) . Which of the following transformations translates the vertex to the point (0,2) ? (1 point) Responses shift left 5 units and up 3 units shift left 5 units and up 3 units shift left 5 units and down 3 units shift left 5 units and down 3 units shift right 5 units and down 3 units shift right 5 units and down 3 units shift right 5 units and up 3 units

Answer 1

To translate the vertex of the quadratic equation from the point (-5, 5) to the point (0, 2), we need to determine the changes in the x and y coordinates.

1. Change in x-coordinate:

   • To go from -5 to 0, we need to shift right by 5 units.

2. Change in y-coordinate:

   • To go from 5 to 2, we need to shift down by 3 units.

Putting it all together, the transformation that translates the vertex from (-5, 5) to (0, 2) is to shift right 5 units and down 3 units.

Therefore, the correct response is: shift right 5 units and down 3 units.