Please help me answer question #21 meeting all the conditions a-f. Note that this is not graded work. I obtained this question from an old textbook to help me practice solving problem sets. Let me know if you have additional questions. The image presents graphs of quadratic functions, each labeled with its equation. Below is a detailed explanation of each graph and the required characteristics:**Graphs and Functions:**1. **19. P(x) = (x - 2)²** - The graph is a parabola opening upwards with its vertex at (2, 0). - **(a)** Vertex: (2, 0) - **(b)** Domain: All real numbers; Range: y ≥ 0 - **(c)** Axis of symmetry: x = 2 - **(d)** Increasing on (2, ∞) - **(e)** Decreasing on (-∞, 2) - **(f)** Minimum point at vertex with a minimum value of 02. **20. P(x) = (x + 4)²** - The graph is a parabola opening upwards with its vertex at (-4, 0). - **(a)** Vertex: (-4, 0) - **(b)** Domain: All real numbers; Range: y ≥ 0 - **(c)** Axis of symmetry: x = -4 - **(d)** Increasing on (-4, ∞) - **(e)** Decreasing on (-∞, -4) - **(f)** Minimum point at vertex with a minimum value of 03. **21. y = (x + 3)² - 4** - The graph is a parabola opening upwards with its vertex at (-3, -4). - **(a)** Vertex: (-3, -4) - **(b)** Domain: All real numbers; Range: y ≥ -4 - **(c)** Axis of symmetry: x = -3 - **(d)** Increasing on (-3, ∞) - **(e)** Decreasing on (-∞, -3) - **(f)** Minimum point at vertex with a minimum value of -44. **22. P(x) = -0.5(x + 1)² - 3** - The graph is a parabola opening downwards with its vertex at (-1, -3). - **(a)** Vertex: (-1, -3) - **(b)** Domain: All real numbers;

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Answered: 21. hall in terms of time. y -5-3 +…

Math

Algebra

21. hall in terms of time. y -5-3 + postove x-ve HKH 3 X -4y = (x + 3)²-4

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Please help me answer question #21 meeting all the conditions a-f.

Note that this is not graded work. I obtained this question from an old textbook to help me practice solving problem sets. Let me know if you have additional questions.

The image presents graphs of quadratic functions, each labeled with its equation. Below is a detailed explanation of each graph and the required characteristics:

**Graphs and Functions:**

1. **19. P(x) = (x - 2)²**
- The graph is a parabola opening upwards with its vertex at (2, 0).
- **(a)** Vertex: (2, 0)
- **(b)** Domain: All real numbers; Range: y ≥ 0
- **(c)** Axis of symmetry: x = 2
- **(d)** Increasing on (2, ∞)
- **(e)** Decreasing on (-∞, 2)
- **(f)** Minimum point at vertex with a minimum value of 0

2. **20. P(x) = (x + 4)²**
- The graph is a parabola opening upwards with its vertex at (-4, 0).
- **(a)** Vertex: (-4, 0)
- **(b)** Domain: All real numbers; Range: y ≥ 0
- **(c)** Axis of symmetry: x = -4
- **(d)** Increasing on (-4, ∞)
- **(e)** Decreasing on (-∞, -4)
- **(f)** Minimum point at vertex with a minimum value of 0

3. **21. y = (x + 3)² - 4**
- The graph is a parabola opening upwards with its vertex at (-3, -4).
- **(a)** Vertex: (-3, -4)
- **(b)** Domain: All real numbers; Range: y ≥ -4
- **(c)** Axis of symmetry: x = -3
- **(d)** Increasing on (-3, ∞)
- **(e)** Decreasing on (-∞, -3)
- **(f)** Minimum point at vertex with a minimum value of -4

4. **22. P(x) = -0.5(x + 1)² - 3**
- The graph is a parabola opening downwards with its vertex at (-1, -3).
- **(a)** Vertex: (-1, -3)
- **(b)** Domain: All real numbers;

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