Quadratic Equations and Functions MCQ Test 3

1. Determine the range of the quadratic function: g(x) = 2x^2 + 3.

2. If a quadratic equation has roots -4 and 5, what is the equation in factored form?

3. What is the solution to the quadratic inequality x^2 - 9 < 0?

4. Which statement accurately describes the roots of a quadratic equation with a positive discriminant?

5. Evaluate the expression h(5) for the quadratic function h(x) = x^2 + 2x - 8.

6. Determine the solution set for the quadratic inequality -x^2 + 6x - 8 < 0.

7. Given the quadratic function f(x) = x^2 - 4x + 4, what is the vertex of the parabola?

8. Which statement accurately describes the discriminant of a quadratic equation?

9. Determine the solution set for the quadratic inequality 2x^2 - 8x + 6 > 0.

10. Solve the quadratic equation 2x^2 + 3x - 5 = 0.

11. Evaluate the expression f(3) for the quadratic function f(x) = -x^2 + 2x + 5.

12. For the quadratic function h(x) = -x^2 + 4x - 2, what is the maximum or minimum value?

13. Factorize the expression x^2 - 6x + 9.

14. If a quadratic function opens upward, what can you infer about the coefficient of the squared term?

15. Express the quadratic function g(x) = -2x^2 - 8x - 6 in vertex form.

16. If the discriminant of a quadratic equation is negative, how many real roots does it have?

17. If a quadratic equation has two complex roots, what can you infer about its discriminant?

18. What is the discriminant of the quadratic equation 3x^2 - 6x + 2 = 0?

19. What is the range of the quadratic function h(x) = x^2 - 4?

20. What is the axis of symmetry for the quadratic function k(x) = 3x^2 - 12x + 5?