Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (– 1, – 3), (-2,4) y = ]
Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (– 1, – 3), (-2,4) y = ]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![# MAC1140 Precalculus Algebra (FA21)
## Homework: 8.2: Systems of Linear Equations
### Problem Statement
**Objective:** Find the quadratic function \( y = ax^2 + bx + c \) whose graph passes through the given points.
**Given Points:**
- \( (1, 7) \)
- \( (-1, -3) \)
- \( (-2, 4) \)
**Solution Area:**
The solution should be entered in the form:
\[ y = \boxed{\phantom{a}} \]
**Instructions:** Calculate the coefficients \( a \), \( b \), and \( c \) that satisfy the conditions set by the points provided and enter the quadratic equation in the box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80810d69-fcfa-40a9-b288-4de1aefeaf50%2Fa97da7d0-8211-4b62-b24c-01bd6b32ec98%2F1vqils_processed.png&w=3840&q=75)
Transcribed Image Text:# MAC1140 Precalculus Algebra (FA21)
## Homework: 8.2: Systems of Linear Equations
### Problem Statement
**Objective:** Find the quadratic function \( y = ax^2 + bx + c \) whose graph passes through the given points.
**Given Points:**
- \( (1, 7) \)
- \( (-1, -3) \)
- \( (-2, 4) \)
**Solution Area:**
The solution should be entered in the form:
\[ y = \boxed{\phantom{a}} \]
**Instructions:** Calculate the coefficients \( a \), \( b \), and \( c \) that satisfy the conditions set by the points provided and enter the quadratic equation in the box.
Expert Solution
Step 1
By satisfying the function with given points we will obtain the system of linear equations and solving the system of linear equations we will find our quadratic function.
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