Practice Standard Equation Of A Parabola (6.3.1) - Conic Sections - ICSE 11 Maths

Practice: Standard Equation of a Parabola

Lesson 6.3.1Conic Sections

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 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.
What is the standard equation of a parabola with its vertex at the origin and its focus on the x-axis?
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Consider how the vertex and focus are positioned to understand the formula.
Question 2.
Define 'focus' in relation to a parabola.
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Think about how the parabola is formed using a focus and a directrix.
3Question 3.
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
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Recall the position of the vertex and focus relative to the axes.
4Question 4.
True or False: A parabola can open both upwards and downwards.
- True
- False
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Think about the signs of values that affect direction.
Question 5.
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.
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Use the standard equation to identify values for 'a'.
Question 6.
Sketch the parabola for y² = -12x and describe its orientation and properties.
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Remember the signs in the equation affecting the direction.

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