Practice Graphical Representation (4) - Quadratic Inequalities - IB 10 Mathematics – Group 5, Algebra
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Graphical Representation

Practice - Graphical Representation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve and graph x² < 4.

💡 Hint: What happens when x equals 2 and -2?

Question 2 Easy

Graph the inequality x² + 4x + 3 > 0.

💡 Hint: Which side of the roots are positive?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the positive region of a parabola represent in a quadratic inequality?

The inequality is false
The inequality is true
The roots of the equation

💡 Hint: Think about what positivity means for a quadratic expression.

Question 2

In the inequality ax² + bx + c ≤ 0, what can you say about a parabola with no real roots?

True
False

💡 Hint: Recall what the discriminant indicates.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve the inequality x² - 4x + 4 and graph. Discuss what your graph tells you.

💡 Hint: What does a flat point indicate about positive or negative values?

Challenge 2 Hard

Analyze the inequality -3x² + 12x - 9 > 0 and find the shaded region if applicable.

💡 Hint: Where does the parabola point with respect to the x-axis?

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