Practice Chapter Summary (7) - Quadratic Functions - IB 10 Mathematics – Group 5, Algebra
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Chapter Summary

Practice - Chapter Summary

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Practice Questions

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Question 1 Easy

Solve x² - 7x + 12 = 0 using factoring.

💡 Hint: Think of two numbers that multiply to +12 and add to -7.

Question 2 Easy

What is the y-intercept of f(x) = 2x² + 3x + 5?

💡 Hint: Set x to 0.

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the general form of a quadratic function?

f(x) = ax^2 + bx + c
f(x) = ax^3 + bx + c
f(x) = ax² + b

💡 Hint: Consider the degree of the polynomial.

Question 2

The x-intercepts of a parabola appear where f(x) = 0. True or False?

True
False

💡 Hint: Remember what x-intercepts signify.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A gardener wants to create a parabolic arch over a path. If the equation of the arch is given by h(t) = -3t² + 12t + 5, find the maximum height and the time at which it occurs.

💡 Hint: Use the vertex formula to find time.

Challenge 2 Hard

Prove that a quadratic function has a minimum value if the leading coefficient (a) is positive, detailing the method used.

💡 Hint: Transform to vertex form to see the min value clearly.

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