In Exercises 47-56, find the quadratic function that has the given vertex and goes through the given point. point: (0, 2) point: (-2, 0) 53. vertex: (-2, -4) point: (-1,6) point: (0, 0) point: (0, 1) 51. vertex: (-1, -3) point: (-4, 2) point: (2, -5) 47. vertex: (-1, 4) 48. vertex: (2, -3) 49. vertex: (2, 5) point: (3, 0) point: (3, 10) point: (, 0) 50. vertex: (1, 3) 52. vertex: (0, -2) 54. vertex: (5, 4) 58. vertex: (,-) 56. vertex: (-,)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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## Quadratic Functions: Vertex and Given Points

In Exercises 47–56, find the quadratic function that has the given vertex and goes through the given point.

### Exercise List:

1. **Exercise 47**
   - Vertex: \((-1, 4)\)
   - Point: \((0, 2)\)

2. **Exercise 48**
   - Vertex: \((2, -3)\)
   - Point: \((0, 1)\)

3. **Exercise 49**
   - Vertex: \((2, 5)\)
   - Point: \((3, 0)\)

4. **Exercise 50**
   - Vertex: \((1, 3)\)
   - Point: \((-2, 0)\)

5. **Exercise 51**
   - Vertex: \((-1, -3)\)
   - Point: \((-4, 2)\)

6. **Exercise 52**
   - Vertex: \((0, -2)\)
   - Point: \((3, 10)\)

7. **Exercise 53**
   - Vertex: \((-2, -4)\)
   - Point: \((-1, 6)\)

8. **Exercise 54**
   - Vertex: \((5, 4)\)
   - Point: \((2, -5)\)

9. **Exercise 55**
   - Vertex: \(\left( -\frac{5}{6}, \frac{2}{3} \right)\)
   - Point: \((0, 0)\)

10. **Exercise 56**
    - Vertex: \(\left( \frac{1}{2}, -\frac{3}{4} \right)\)
    - Point: \(\left( \frac{3}{4}, 0 \right)\)
Transcribed Image Text:## Quadratic Functions: Vertex and Given Points In Exercises 47–56, find the quadratic function that has the given vertex and goes through the given point. ### Exercise List: 1. **Exercise 47** - Vertex: \((-1, 4)\) - Point: \((0, 2)\) 2. **Exercise 48** - Vertex: \((2, -3)\) - Point: \((0, 1)\) 3. **Exercise 49** - Vertex: \((2, 5)\) - Point: \((3, 0)\) 4. **Exercise 50** - Vertex: \((1, 3)\) - Point: \((-2, 0)\) 5. **Exercise 51** - Vertex: \((-1, -3)\) - Point: \((-4, 2)\) 6. **Exercise 52** - Vertex: \((0, -2)\) - Point: \((3, 10)\) 7. **Exercise 53** - Vertex: \((-2, -4)\) - Point: \((-1, 6)\) 8. **Exercise 54** - Vertex: \((5, 4)\) - Point: \((2, -5)\) 9. **Exercise 55** - Vertex: \(\left( -\frac{5}{6}, \frac{2}{3} \right)\) - Point: \((0, 0)\) 10. **Exercise 56** - Vertex: \(\left( \frac{1}{2}, -\frac{3}{4} \right)\) - Point: \(\left( \frac{3}{4}, 0 \right)\)
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