Practice Vertex (turning Point) (2.3) - Quadratic Functions - IB 10 Mathematics – Group 5, Algebra

Practice: Vertex (Turning Point)

Lesson 2.3Quadratic Functions

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7 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
5 questions · about 3 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the vertex of the function $f(x) = x^2 - 2x + 1$ .
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Use the vertex formula, identify `a` and `b`.
Question 2.
Determine the vertex of $f(x) = 2x^2 + 8x + 6$ .
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Calculate x first using $$ x = -\\frac{b}{2a} $$. Then find y.
3Question 3.
What is the formula for the x-coordinate of the vertex?
- $$ x = -\\frac{b}{2a} $$
- $$ x = \\frac{-b}{2a} $$
- $$ x = \\frac{2a}{b} $$
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Recall the vertex formula from our earlier discussions.
4Question 4.
True or False: The vertex can only be a minimum point of a parabola when a is positive.
- True
- False
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Think about how the direction of the parabola affects the vertex's role.
Question 5.
A quadratic profit function is defined as $P(x) = -0.25x^2 + 10x + 50$ . Determine the number of items sold that maximizes profit.
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Focus on the vertex for profit maximization.
Question 6.
Determine the vertex of the quadratic equation $y = 5x^2 - 20x + 15$ and explain what this represents in a real context.
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Calculate x first before seeing its effect on y.

3 more questions in this section. Enroll free to practise them all.