Practice Worked Examples (4) - Quadratic Functions - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

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Question 1 Easy

Solve \( x^2 - 7x + 12 = 0 \) using factorization.

💡 Hint: Look for two numbers that add to -7 and multiply to 12.

Question 2 Easy

Determine the y-intercept of the function \( f(x) = x^2 + 2x + 2 \).

💡 Hint: Set \\( x = 0 \\).

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What are the roots of the equation \( x^2 + 4x + 4 = 0 \)?

\\( -2 \\)
\\( -4 \\)
\\( 0 \\)

💡 Hint: Look for a perfect square.

Question 2

True or False: The quadratic formula can only be used when the quadratic cannot be factored.

True
False

💡 Hint: Think about when to use the formula.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the equation \( 4x^2 - 8x + 3 = 0 \), determine its roots using the discriminant.

💡 Hint: Evaluate the discriminant first to determine the types of solutions.

Challenge 2 Hard

A projectile follows the path: \( h(t) = -16t^2 + 64t + 80 \). Determine when it reaches the ground.

💡 Hint: Calculate using the quadratic formula.

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