Maps /assignments/2656181 Determine the equation of the parabola whose graph is given below. Write your answer in General Form. 5 4 1 -7 -6 -5 -4 -3 -2 -1 -1 -4 -5 2 3 4 5 6 7

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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**Determine the equation of the parabola whose graph is given below. Write your answer in General Form.**

### Graph Explanation:

- **Graph Type**: The image shows a coordinate plane with a parabola graphed on it.
- **Parabola Orientation**: The parabola opens downward.
- **Vertex**: The vertex of the parabola is at (0, 6).
- **Symmetry**: The parabola is symmetric around the y-axis.
- **Intercepts**: 
  - **Y-Intercept**: (0, 6) (since the vertex is at the y-axis)
  - **X-Intercepts**: The points where the parabola crosses the x-axis are approximately at (-3, 0) and (3, 0).

### Task:

You are asked to find the equation of this parabola in its general form: \( ax^2 + bx + c = 0 \). Use the vertex and intercepts information for calculation.
Transcribed Image Text:**Determine the equation of the parabola whose graph is given below. Write your answer in General Form.** ### Graph Explanation: - **Graph Type**: The image shows a coordinate plane with a parabola graphed on it. - **Parabola Orientation**: The parabola opens downward. - **Vertex**: The vertex of the parabola is at (0, 6). - **Symmetry**: The parabola is symmetric around the y-axis. - **Intercepts**: - **Y-Intercept**: (0, 6) (since the vertex is at the y-axis) - **X-Intercepts**: The points where the parabola crosses the x-axis are approximately at (-3, 0) and (3, 0). ### Task: You are asked to find the equation of this parabola in its general form: \( ax^2 + bx + c = 0 \). Use the vertex and intercepts information for calculation.
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