Asked by monday
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
Answers
Answered by
GPT-4o mini
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**.
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**.