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Quiz

Year 2: Quadratic functions and inequalities

10 questions with solutions for year 2: graph and vertex, extreme values, monotonicity, zeros, sign, quadratic inequalities, systems and unions of two quadratic inequalities.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. What is the x-coordinate of the vertex of y = x² − 4x + 3?

2. The minimum value of y = x² − 4x + 3 is:

3. The maximum value of y = −x² + 6x − 5 is:

4. The larger zero of y = x² − x − 6 is:

5. The parabola y = −2x² + 3x + 1 opens:

6. The graph of y = x² + 1 meets the x-axis at:

7. x² − 9 < 0

8. x² − 5x + 6 ≥ 0

9. How many integers satisfy x² − 4x < 0?

10. How many integers satisfy both x² − 1 > 0 and x² − 9 < 0?