Practice Worked Examples (4) - Quadratic Functions - IB 10 Mathematics

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6 sample questions

Question 1.
Solve $x^2 - 7x + 12 = 0$ using factorization.
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Look for two numbers that add to -7 and multiply to 12.
Question 2.
Determine the y-intercept of the function $f(x) = x^2 + 2x + 2$ .
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Set \$ x = 0 \$.
3Question 3.
What are the roots of the equation $x^2 + 4x + 4 = 0$ ?
- \$ -2 \$
- \$ -4 \$
- \$ 0 \$
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Look for a perfect square.
4Question 4.
True or False: The quadratic formula can only be used when the quadratic cannot be factored.
- True
- False
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Think about when to use the formula.
Question 5.
Given the equation $4x^2 - 8x + 3 = 0$ , determine its roots using the discriminant.
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Evaluate the discriminant first to determine the types of solutions.
Question 6.
A projectile follows the path: $h(t) = -16t^2 + 64t + 80$ . Determine when it reaches the ground.
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Calculate using the quadratic formula.

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