Which of the following could be the equation of the graph below? O y = (x – 2)² + 3 Oy = (x + 3)2 – 2 O y = (x – 1)? + 2 O y = -(x+2)²+ 3

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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**Practice Problem: Identifying the Equation of a Graph**

**Question:**
Which of the following could be the equation of the graph below?

![Graph of parabola](https://example.com/graph.jpg)

**Graph Description:**
The graph shown is a parabola that opens downwards. It has a maximum point (vertex) located at an unspecified point on the graph. The grid lines suggest standard coordinate intervals.

**Answer Choices:**
- ⃝ \( y = (x - 2)^2 + 3 \)
- ⃝ \( y = (x + 3)^2 - 2 \)
- ⃝ \( y = (x - 1)^2 + 2 \)
- ⃝ \( y = -(x + 2)^2 + 3 \)

Make sure to analyze the vertex of the parabola and the direction in which it opens to determine the correct equation. Notice that the parabola opens downwards, indicating a negative coefficient for the squared term. Only one of the given equations aligns with this characteristic.
Transcribed Image Text:**Practice Problem: Identifying the Equation of a Graph** **Question:** Which of the following could be the equation of the graph below? ![Graph of parabola](https://example.com/graph.jpg) **Graph Description:** The graph shown is a parabola that opens downwards. It has a maximum point (vertex) located at an unspecified point on the graph. The grid lines suggest standard coordinate intervals. **Answer Choices:** - ⃝ \( y = (x - 2)^2 + 3 \) - ⃝ \( y = (x + 3)^2 - 2 \) - ⃝ \( y = (x - 1)^2 + 2 \) - ⃝ \( y = -(x + 2)^2 + 3 \) Make sure to analyze the vertex of the parabola and the direction in which it opens to determine the correct equation. Notice that the parabola opens downwards, indicating a negative coefficient for the squared term. Only one of the given equations aligns with this characteristic.
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