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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the vertex of the function $$ f(x) = x^2 - 2x + 1 $$.
💡 Hint: Use the vertex formula, identify `a` and `b`.
Question 2
Easy
Determine the vertex of $$ f(x) = 2x^2 + 8x + 6 $$.
💡 Hint: Calculate x first using $$ x = -\\frac{b}{2a} $$. Then find y.
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 formula for the x-coordinate of the vertex?
- $$ x = -\\frac{b}{2a} $$
- $$ x = \\frac{-b}{2a} $$
- $$ x = \\frac{2a}{b} $$
💡 Hint: Recall the vertex formula from our earlier discussions.
Question 2
True or False: The vertex can only be a minimum point of a parabola when a is positive.
- True
- False
💡 Hint: Think about how the direction of the parabola affects the vertex's role.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A quadratic profit function is defined as $$ P(x) = -0.25x^2 + 10x + 50 $$. Determine the number of items sold that maximizes profit.
💡 Hint: Focus on the vertex for profit maximization.
Question 2
Determine the vertex of the quadratic equation $$ y = 5x^2 - 20x + 15 $$ and explain what this represents in a real context.
💡 Hint: Calculate x first before seeing its effect on y.
Challenge and get performance evaluation