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 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**.