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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the standard equation of a parabola with its vertex at the origin and its focus on the x-axis?
💡 Hint: Consider how the vertex and focus are positioned to understand the formula.
Question 2
Easy
Define 'focus' in relation to a parabola.
💡 Hint: Think about how the parabola is formed using a focus and a directrix.
Practice 4 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 standard equation of a parabola with its vertex at the origin and focus along the x-axis?
- y² = 4ax
- x² = 4ay
- y = ax²
- x² + y² = r²
💡 Hint: Recall the position of the vertex and focus relative to the axes.
Question 2
True or False: A parabola can open both upwards and downwards.
- True
- False
💡 Hint: Think about the signs of values that affect direction.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A projectile is launched and follows the path defined by the parabola y² = 8x. Identify the coordinates of the focus and the equation of the directrix.
💡 Hint: Use the standard equation to identify values for 'a'.
Question 2
Sketch the parabola for y² = -12x and describe its orientation and properties.
💡 Hint: Remember the signs in the equation affecting the direction.
Challenge and get performance evaluation