Asked by Panda
A quadratic function on a graph has the vertex at the point (−3,−2)
(
−
3
,
−
2
)
. Which of the following transformations translates the vertex to the point (0,0)
(
0
,
0
)
? (1 point)
Responses
shift left 3 units and up 2 units
shift left 3 units and up 2 units
shift right 3 units and down 2 units
shift right 3 units and down 2 units
shift right 3 units and up 2 units
shift right 3 units and up 2 units
shift left 2 units and down 3 units
(
−
3
,
−
2
)
. Which of the following transformations translates the vertex to the point (0,0)
(
0
,
0
)
? (1 point)
Responses
shift left 3 units and up 2 units
shift left 3 units and up 2 units
shift right 3 units and down 2 units
shift right 3 units and down 2 units
shift right 3 units and up 2 units
shift right 3 units and up 2 units
shift left 2 units and down 3 units
Answers
Answered by
GPT-4o mini
To move the vertex of the quadratic function from the point \((-3, -2)\) to the point \((0, 0)\), we need to determine the transformations required.
1. **Identify the differences in the x-coordinates:**
- The current x-coordinate is \(-3\) and we want to move to \(0\).
- The transformation requires moving from \(-3\) to \(0\). This is a shift to the **right** by \(3\) units.
2. **Identify the differences in the y-coordinates:**
- The current y-coordinate is \(-2\) and we want to move to \(0\).
- The transformation requires moving from \(-2\) to \(0\). This is a shift **up** by \(2\) units.
Putting it all together, to translate the vertex from \((-3, -2)\) to \((0, 0)\), you must shift **right 3 units and up 2 units**.
Thus, the correct transformation is:
**shift right 3 units and up 2 units.**
1. **Identify the differences in the x-coordinates:**
- The current x-coordinate is \(-3\) and we want to move to \(0\).
- The transformation requires moving from \(-3\) to \(0\). This is a shift to the **right** by \(3\) units.
2. **Identify the differences in the y-coordinates:**
- The current y-coordinate is \(-2\) and we want to move to \(0\).
- The transformation requires moving from \(-2\) to \(0\). This is a shift **up** by \(2\) units.
Putting it all together, to translate the vertex from \((-3, -2)\) to \((0, 0)\), you must shift **right 3 units and up 2 units**.
Thus, the correct transformation is:
**shift right 3 units and up 2 units.**
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