7. 4 3. -8 -7-6 -5 -4 3 -2 -1 2 3 6. <-2 -3 -4 -5 -6 -7 -8 寸

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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Identify the smaller root

The image displays a graph of a quadratic function, specifically a downward-opening parabola. Here is a detailed explanation:

**Graph Description:**

1. **Axes:**
   - The graph is plotted on a Cartesian coordinate system with both horizontal (x-axis) and vertical (y-axis) ranging from -8 to 8.

2. **Parabola Characteristics:**
   - The parabola opens downward, indicating a negative leading coefficient in the quadratic equation.
   - The vertex of the parabola, the highest point, is located at approximately the coordinate (0, 2).
   - The parabola is symmetrical around the y-axis, suggesting that the vertex is on this axis.

3. **Direction and End Behavior:**
   - The graph decreases on either side of the vertex, with arrows pointing downwards, indicating that as x moves towards ±∞, y approaches -∞.

This visualization helps learners understand the general shape and properties of a quadratic function where the parabola opens downward.
Transcribed Image Text:The image displays a graph of a quadratic function, specifically a downward-opening parabola. Here is a detailed explanation: **Graph Description:** 1. **Axes:** - The graph is plotted on a Cartesian coordinate system with both horizontal (x-axis) and vertical (y-axis) ranging from -8 to 8. 2. **Parabola Characteristics:** - The parabola opens downward, indicating a negative leading coefficient in the quadratic equation. - The vertex of the parabola, the highest point, is located at approximately the coordinate (0, 2). - The parabola is symmetrical around the y-axis, suggesting that the vertex is on this axis. 3. **Direction and End Behavior:** - The graph decreases on either side of the vertex, with arrows pointing downwards, indicating that as x moves towards ±∞, y approaches -∞. This visualization helps learners understand the general shape and properties of a quadratic function where the parabola opens downward.
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