The image contains three quadratic equations where you are asked to find the values of $a$, $b$, and $c$ for each equation. These values correspond to the coefficients in the standard quadratic form $ax^2 + bx + c = 0$.

Let's analyze each equation:

a. $x^2 + 2x - 2 = 0$

• Comparing this with the standard form $ax^2 + bx + c = 0$:
  • $a = 1$ (coefficient of $x^2$),
  • $b = 2$ (coefficient of $x$),
  • $c = -2$ (constant term).

b. $-x^2 - x - 1 = 0$

• Comparing this with $ax^2 + bx + c = 0$:
  • $a = -1$,
  • $b = -1$,
  • $c = -1$.

c. $-3x^2 + 3 - 3x = 0$

• Rewriting this as $-3x^2 - 3x + 3 = 0$, we have:
  • $a = -3$,
  • $b = -3$,
  • $c = 3$.

If you need further details or have any questions, feel free to ask!

Here are five related questions to expand on this:

1. How do you solve a quadratic equation using the quadratic formula?
2. Can you factor these quadratic equations to find their roots?
3. How does the discriminant help in determining the number of solutions for a quadratic equation?
4. What are the steps to complete the square for solving a quadratic equation?
5. What is the graphical representation of these quadratic equations?

Tip: Always check the signs of the coefficients carefully when comparing an equation to the standard form $ax^2 + bx + c = 0$.