Practice Chapter Summary (7) - Quadratic Functions - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
Solve x² - 7x + 12 = 0 using factoring.
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Think of two numbers that multiply to +12 and add to -7.
Question 2.
What is the y-intercept of f(x) = 2x² + 3x + 5?
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Set x to 0.
3Question 3.
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
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Consider the degree of the polynomial.
4Question 4.
The x-intercepts of a parabola appear where f(x) = 0. True or False?
- True
- False
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Remember what x-intercepts signify.
Question 5.
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.
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Use the vertex formula to find time.
Question 6.
Prove that a quadratic function has a minimum value if the leading coefficient (a) is positive, detailing the method used.
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Transform to vertex form to see the min value clearly.

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