A quadratic equation on a graph has the vertex (−5,5)

Question

. Which of the following transformations translates the vertex to the point (0,2)
?

(1 point)
Responses

shift left 5 units and down 3 units
shift left 5 units and down 3 units

shift left 5 units and up 3 units
shift left 5 units and up 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 will calculate the necessary shifts in both the x and y directions.

1. X-direction shift: To move from \(-5\) to \(0\): \[ 0 - (-5) = 5 \] This means we need to shift right 5 units.

2. Y-direction shift: To move from \(5\) to \(2\): \[ 2 - 5 = -3 \] This means we need to shift down 3 units.

So, the complete transformation is to shift right 5 units and down 3 units.

The correct response is: shift right 5 units and down 3 units.