Use the graph below to write the quadratic function in vertex form. Be sure to use the equation editor to type your answer. 74 6 -5 4 3 -6 -5 -4 -3 -2 -10 -1- -2 -3 -4- -5 --6- 1 2 3 4 5 67
Use the graph below to write the quadratic function in vertex form. Be sure to use the equation editor to type your answer. 74 6 -5 4 3 -6 -5 -4 -3 -2 -10 -1- -2 -3 -4- -5 --6- 1 2 3 4 5 67
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 106E
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Question
 (Note: This placeholder can be replaced with the image URL or removed accordingly.)
**Instructions:**
Using the information from the graph, write the quadratic function in vertex form, which is expressed as:
\[ y = a(x-h)^2 + k \]
Where:
- \((h, k)\) are the coordinates of the vertex
- \(a\) is a coefficient that dictates the width and direction of the parabola (Since the parabola opens downwards, \(a\) will be negative.)
---
> **Equation Editor Use:**
>
> To correctly input mathematical expressions, utilize the designated tools provided in the editor. For instance, use \( x^2 \) for squared terms and \( \frac{}{}/frac \) for fractions.
Please type your answer in the space provided below. If you have any questions or need further assistance, refer to the help section or contact your instructor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7136447b-e766-4b37-85b2-41f2c4b5f6c9%2F5aad04ab-5850-4663-8e8e-22ef1fa697a2%2Fti4eogo_processed.png&w=3840&q=75)
Transcribed Image Text:---
### Quadratic Functions: Vertex Form
Use the graph below to write the quadratic function in vertex form. Be sure to use the equation editor to type your answer.
**Graph Description:**
The graph depicts a downward-opening parabola. The vertex of the parabola, which represents the maximum point, is at \((-1, 6)\). The parabola intersects the x-axis at the points \((-4, 0)\) and \((2, 0)\), suggesting that these are the roots of the quadratic function.
 (Note: This placeholder can be replaced with the image URL or removed accordingly.)
**Instructions:**
Using the information from the graph, write the quadratic function in vertex form, which is expressed as:
\[ y = a(x-h)^2 + k \]
Where:
- \((h, k)\) are the coordinates of the vertex
- \(a\) is a coefficient that dictates the width and direction of the parabola (Since the parabola opens downwards, \(a\) will be negative.)
---
> **Equation Editor Use:**
>
> To correctly input mathematical expressions, utilize the designated tools provided in the editor. For instance, use \( x^2 \) for squared terms and \( \frac{}{}/frac \) for fractions.
Please type your answer in the space provided below. If you have any questions or need further assistance, refer to the help section or contact your instructor.
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