Practice - Standard Equation of a Parabola
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Practice Questions
Test your understanding with targeted questions
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.
Define 'focus' in relation to a parabola.
💡 Hint: Think about how the parabola is formed using a focus and a directrix.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the standard equation of a parabola with its vertex at the origin and focus along the x-axis?
💡 Hint: Recall the position of the vertex and focus relative to the axes.
True or False: A parabola can open both upwards and downwards.
💡 Hint: Think about the signs of values that affect direction.
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Challenge Problems
Push your limits with advanced challenges
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'.
Sketch the parabola for y² = -12x and describe its orientation and properties.
💡 Hint: Remember the signs in the equation affecting the direction.
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