https://file.aiquickdraw.com/mathbot/file/1727265103086wg618p2c.jpg

The function given is:

\[
y = x^2 + 4x - 3
\]

We need to compute the values of \( y \) corresponding to the given \( x \) values for the table.

### Step 1: Compute \( A \) when \( x = -3 \)
Substitute \( x = -3 \) into the equation:

\[
y = (-3)^2 + 4(-3) - 3 = 9 - 12 - 3 = -6
\]

So, \( A = -6 \).

### Step 2: Compute \( B \) when \( x = 0 \)
Substitute \( x = 0 \) into the equation:

\[
y = (0)^2 + 4(0) - 3 = -3
\]

So, \( B = -3 \).

### Step 3: Compute \( C \) when \( x = 1 \)
Substitute \( x = 1 \) into the equation:

\[
y = (1)^2 + 4(1) - 3 = 1 + 4 - 3 = 2
\]

So, \( C = 2 \).

### Final Table:
\[
\begin{array}{c|c|c|c|c|c}
x & -3 & -2 & -1 & 0 & 1 \\
\hline
y & -6 & -7 & -6 & -3 & 2 \\
\end{array}
\]

Let me know if you'd like further clarification or more details!

Here are some related questions:
1. How do we calculate \( y \) for other values of \( x \)?
2. What does the graph of \( y = x^2 + 4x - 3 \) look like?
3. Can we factor the quadratic expression \( x^2 + 4x - 3 \)?
4. How can we determine the vertex of the parabola for this equation?
5. What is the significance of the discriminant for this quadratic equation?

**Tip:** Always substitute values carefully and double-check arithmetic steps when working with quadratic equations.

Copy and complete the table of values for y = x^2 + 4x - 3. What numbers replace A, B, and C?

Learn how to complete the table of values for the quadratic function y = x^2 + 4x - 3. This problem covers key algebraic concepts like evaluating quadratic equations. Ideal for students in Grades 7-9.

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