Question
Identify the values of a, b, and c from the quadratic function \( y = -3x^2 + 6x - 5 \).
Ask by Byrd Frank. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( a = -3 \), \( b = 6 \), and \( c = -5 \).
Solution
In the quadratic function \( y = -3x^2 + 6x - 5 \), the coefficients correspond to the standard form of a quadratic equation, which is:
\[ y = ax^2 + bx + c \]
Comparing the two equations:
- **\( a \)** (the coefficient of \( x^2 \)) is **\(-3\)**.
- **\( b \)** (the coefficient of \( x \)) is **\(6\)**.
- **\( c \)** (the constant term) is **\(-5\)**.
**Summary of the values:**
- \( a = -3 \)
- \( b = 6 \)
- \( c = -5 \)
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Simplify this solution The Deep Dive
In the quadratic function \( y = -3x^2 + 6x - 5 \), the coefficients correspond to the standard form \( y = ax^2 + bx + c \). Here, \( a = -3 \), \( b = 6 \), and \( c = -5 \). So, we can say: - \( a \) is the coefficient of \( x^2 \) and equals \(-3\). - \( b \) is the coefficient of \( x \) and equals \(6\). - \( c \) is the constant term and equals \(-5\).
