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We are given the equation \( y = x^2 + 4x - 2 \) and a table with different values of \( x \). We need to compute the corresponding values of \( y \) to determine the missing entries \( A \), \( B \), and \( C \).

### Step-by-Step Calculation:

1. **For \( x = -3 \):**
   \[
   y = (-3)^2 + 4(-3) - 2 = 9 - 12 - 2 = -5
   \]
   Therefore, \( A = -5 \).

2. **For \( x = 0 \):**
   \[
   y = (0)^2 + 4(0) - 2 = 0 + 0 - 2 = -2
   \]
   Therefore, \( B = -2 \).

3. **For \( x = 1 \):**
   \[
   y = (1)^2 + 4(1) - 2 = 1 + 4 - 2 = 3
   \]
   Therefore, \( C = 3 \).

### Completed Table:
\[
\begin{array}{c|c|c|c|c|c}
x & -3 & -2 & -1 & 0 & 1 \\
\hline
y & -5 & -6 & -5 & -2 & 3 \\
\end{array}
\]

Thus:
- \( A = -5 \)
- \( B = -2 \)
- \( C = 3 \)

Would you like any further details or explanations?

### Relative Questions:
1. How do you determine the vertex of the quadratic function \( y = x^2 + 4x - 2 \)?
2. What is the axis of symmetry for the parabola given by \( y = x^2 + 4x - 2 \)?
3. How can you graph the function \( y = x^2 + 4x - 2 \) using the points in the table?
4. What is the minimum or maximum value of the function \( y = x^2 + 4x - 2 \)?
5. How would the function \( y = x^2 + 4x - 2 \) change if the constant term were increased by 3?

### Tip:
To find the axis of symmetry for a quadratic equation \( y = ax^2 + bx + c \), use the formula \( x = -\frac{b}{2a} \).

Copy and complete the table of values for y = x^2 + 4x - 2. What numbers replace A, B, and C?

Learn how to complete a function table for the quadratic equation y = x^2 + 4x - 2. This problem involves evaluating the function for various x-values, such as -3, 0, and 1, to determine missing entries. Suitable for students in Grades 8-10.

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