Maths Test

1. What are the roots of the quadratic equation x^2 - 5x + 6 = 0?

2. Which of the following equations represents a parabola that opens upwards?

3. What is the vertex of the quadratic function y = 2x^2 - 8x + 5?

4. How many real roots does the equation 3x^2 + 4x + 5 = 0 have?

5. If a quadratic function is given by f(x) = ax^2 + bx + c, what condition must be satisfied for it to have a maximum value?

6. What is the quadratic formula used to find the roots of a quadratic equation?

7. What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

8. For the quadratic equation x^2 + 4x + 4 = 0, what type of roots does it have?

9. Which of the following describes the graph of the function y = -x^2 + 6x - 8?

10. What is the axis of symmetry for the quadratic function f(x) = 3x^2 - 12x + 12?

11. Which of the following is a characteristic of a quadratic function?

12. What is the discriminant of the equation x^2 - 4x + 4 = 0?

13. Given the quadratic equation x^2 - 2x - 3 = 0, what are the roots?

14. Which of the following represents the maximum point of the function y = -3(x - 2)^2 + 5?

15. What is the effect of changing the sign of 'a' in the standard form of a quadratic function?

16. For the quadratic equation 2x^2 + 3x + 1 = 0, what is the value of the discriminant?

17. How do you determine if the quadratic equation has complex roots?