The question in the image asks for the completion of the table of values for $y = x^2 + 8$, specifically finding the missing values labeled $A$ and $B$.

Steps to solve:

1. Understand the function:
   The equation $y = x^2 + 8$ means you square the $x$-value, then add 8 to find $y$.

2. Apply the given values:

   • For $x = -2$:
     $y = (-2)^2 + 8 = 4 + 8 = 12$, so $A = 12$.
   • For $x = 2$:
     $y = (2)^2 + 8 = 4 + 8 = 12$, so $B = 12$.

Completed Table:

Final Answer:

• $A = 12$
• $B = 12$

Would you like a detailed explanation or have further questions?

Here are five related questions to deepen understanding:

1. What happens to $y$ as $x$ becomes more negative or more positive?
2. How would the table change if the equation were $y = x^2 - 5$?
3. Can you plot these points on a graph and describe the shape of the curve?
4. What is the vertex of the parabola represented by $y = x^2 + 8$?
5. How do you determine whether a quadratic opens upwards or downwards?

Tip: The constant in the equation (here, 8) determines the vertical shift of the parabola!