An equation of the parabola is

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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The image shows a grid with a blue parabola opening upwards. The vertex of the parabola is marked with a green dot at the point (-3, -1). Below the vertex, the directrix is indicated as a horizontal blue line with the equation \(y = -1.25\).

Key elements of the graph:

- **Parabola:** Opens upwards with its vertex at (-3, -1).
- **Vertex:** Indicated as a green point at coordinates (-3, -1).
- **Directrix:** A horizontal line with the equation \(y = -1.25\), located below the vertex.

The prompt requests you to write an equation of the parabola shown in the graph. A blank space is provided for entering the equation.
Transcribed Image Text:The image shows a grid with a blue parabola opening upwards. The vertex of the parabola is marked with a green dot at the point (-3, -1). Below the vertex, the directrix is indicated as a horizontal blue line with the equation \(y = -1.25\). Key elements of the graph: - **Parabola:** Opens upwards with its vertex at (-3, -1). - **Vertex:** Indicated as a green point at coordinates (-3, -1). - **Directrix:** A horizontal line with the equation \(y = -1.25\), located below the vertex. The prompt requests you to write an equation of the parabola shown in the graph. A blank space is provided for entering the equation.
Expert Solution
Step 1 Standard form of parabola is

x-h2=4py-k whereh,k is centre then focus is h, k+p  and directrix is y=k-p

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