What is the axis of symmetry of a parabola?
Characteristics of Parabolas

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for a quadratic in standard form y = ax² + bx + c.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.
3.
FLASHCARD QUESTION
Front
Describe the end behavior of a parabola that opens upwards.
Back
As x → ∞, y → ∞ and as x → -∞, y → ∞.
4.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
5.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens upwards?
Back
If a parabola opens upwards, it has a minimum vertex, and the y-values increase as x moves away from the vertex.
6.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens downwards?
Back
If a parabola opens downwards, it has a maximum vertex, and the y-values decrease as x moves away from the vertex.
7.
FLASHCARD QUESTION
Front
How can you determine if a parabola has a maximum or minimum?
Back
You can determine this by looking at the coefficient 'a' in the standard form y = ax² + bx + c. If 'a' is positive, it has a minimum; if 'a' is negative, it has a maximum.
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