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Problem Overview:

The task involves identifying the coefficients \( a \), \( b \), and \( c \) for quadratic equations given in standard form. The standard form of a quadratic equation is:

\[
y = ax^2 + bx + c
\]

Where:
- \( a \) is the coefficient of \( x^2 \),
- \( b \) is the coefficient of \( x \),
- \( c \) is the constant term.

We are provided with several quadratic equations, and we need to extract the values of \( a \), \( b \), and \( c \) for each equation.

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Solution:

#### Sample #1:
Equation: \( y = -3x^2 + x - 8 \)

- \( a = -3 \) (coefficient of \( x^2 \)),
- \( b = 1 \) (coefficient of \( x \)),
- \( c = -8 \) (constant term).

#### Sample #2:
Equation: \( y = x^2 - 25 \)

- \( a = 1 \) (coefficient of \( x^2 \)),
- \( b = 0 \) (no \( x \)-term, so coefficient is 0),
- \( c = -25 \) (constant term).

---

#### Problem Set:

1. Equation: \( y = x^2 + 2x + 11 \)
- \( a = 1 \) (coefficient of \( x^2 \)),
- \( b = 2 \) (coefficient of \( x \)),
- \( c = 11 \) (constant term).

2. Equation: \( y = x^2 - 7x - 11 \)
- \( a = 1 \) (coefficient of \( x^2 \)),
- \( b = -7 \) (coefficient of \( x \)),
- \( c = -11 \) (constant term).

3. Equation: \( y = 4x - x^2 + 9 \)
- Rearrange to standard form: \( y = -x^2 + 4x + 9 \).
- \( a = -1 \) (coefficient of \( x^2 \)),
- \( b = 4 \) (coefficient of \( x \)),
- \( c = 9 \) (constant term).

4. Equation: \( y = 18 - x + 2x^2 \)
- Rearrange to standard form: \( y = 2x^2 - x + 18 \).
- \( a = 2 \) (coefficient of \( x^2 \)),
- \( b = -1 \) (coefficient of \( x \)),
- \( c = 18 \) (constant term).

5. Equation: \( y = x^2 - 9 \)
- \( a = 1 \) (coefficient of \( x^2 \)),
- \( b = 0 \) (no \( x \)-term, so coefficient is 0),
- \( c = -9 \) (constant term).

6. Equation: \( y = 2x^2 + 3x \)
- \( a = 2 \) (coefficient of \( x^2 \)),
- \( b = 3 \) (coefficient of \( x \)),
- \( c = 0 \) (no constant term, so \( c = 0 \)).

7. Equation: \( y = -3 - 4x^2 \)
- Rearrange to standard form: \( y = -4x^2 + 0x - 3 \).
- \( a = -4 \) (coefficient of \( x^2 \)),
- \( b = 0 \) (no \( x \)-term, so coefficient is 0),
- \( c = -3 \) (constant term).

8. Equation: \( y = 6x^2 \)
- \( a = 6 \) (coefficient of \( x^2 \)),
- \( b = 0 \) (no \( x \)-term, so coefficient is 0),
- \( c = 0 \) (no constant term, so \( c = 0 \)).

9. Equation: \( y = -x^2 + 8x \)
- \( a = -1 \) (coefficient of \( x^2 \)),
- \( b = 8 \) (coefficient of \( x \)),
- \( c = 0 \) (no constant term, so \( c = 0 \)).

10. Equation: \( y = x - x^2 \)
- Rearrange to standard form: \( y = -x^2 + x + 0 \).
- \( a = -1 \) (coefficient of \( x^2 \)),
- \( b = 1 \) (coefficient of \( x \)),
- \( c = 0 \) (no constant term, so \( c = 0 \)).

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Final Answers:

\[
\boxed{
\begin{array}{lll}
1. & a = 1, b = 2, c = 11 \\
2. & a = 1, b = -7, c = -11 \\
3. & a = -1, b = 4, c = 9 \\
4. & a = 2, b = -1, c = 18 \\
5. & a = 1, b = 0, c = -9 \\
6. & a = 2, b = 3, c = 0 \\
7. & a = -4, b = 0, c = -3 \\
8. & a = 6, b = 0, c = 0 \\
9. & a = -1, b = 8, c = 0 \\
10. & a = -1, b = 1, c = 0 \\
\end{array}
}
\]