Practice Parabola (6.3) - Conic Sections

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9 questions

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Exercise
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a parabola.
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Think about the definitions of the focus and directrix.
Question 2.
What is the standard equation of a parabola that opens upwards?
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Recall that this represents a vertical orientation.
3Question 3.
What defines a parabola?
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What are the two key components that define a parabola?
4Question 4.
The equation $y^2 = 20x$ describes a parabola that opens...
- Upwards
- Downwards
- To the right
- To the left
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Recall what a positive 'a' infers about the direction.
Question 5.
Given a parabola with a focus at (1, 2) and directrix y = 0, derive its equation.
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Remember the definition that connects focus and directrix to the equation.
Question 6.
Find the equation of the parabola that has its vertex at the origin and opens downwards with a focus at (0, -3).
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Identify the orientation based on how the focus is positioned.

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