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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
Practice 3 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation