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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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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