Find the quadratic equation that fits the following set of data points. {(4,111),(5,179),(-3,83)} Write the equation in standard form, y = ax + bx + c. y =
Find the quadratic equation that fits the following set of data points. {(4,111),(5,179),(-3,83)} Write the equation in standard form, y = ax + bx + c. y =
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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Question
![**Problem Statement:**
Find the quadratic equation that fits the following set of data points.
Data Points:
\[
(4, 111), (5, 179), (-3, 83)
\]
**Task:**
Write the equation in standard form, \( y = ax^2 + bx + c \).
**Answer:**
\[ y = \_\_\_ \]
**Explanation:**
You are tasked with finding a quadratic equation in standard form. The standard form of a quadratic equation is expressed as \( y = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants that you will determine based on the given data points. Use techniques such as substitution or a system of equations to find the values of \( a \), \( b \), and \( c \) that make the equation fit the data points exactly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F191bd143-cd95-466d-87db-0e0c3d8b655a%2F96f7722c-9dd1-4931-b7d4-40db5db27749%2Fnqyidli_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the quadratic equation that fits the following set of data points.
Data Points:
\[
(4, 111), (5, 179), (-3, 83)
\]
**Task:**
Write the equation in standard form, \( y = ax^2 + bx + c \).
**Answer:**
\[ y = \_\_\_ \]
**Explanation:**
You are tasked with finding a quadratic equation in standard form. The standard form of a quadratic equation is expressed as \( y = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants that you will determine based on the given data points. Use techniques such as substitution or a system of equations to find the values of \( a \), \( b \), and \( c \) that make the equation fit the data points exactly.
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