What is the axis of symmetry of a quadratic graph?
9.1 Characteristics of Quadratics

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Mathematics
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9th 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 the form ax^2 + bx + c.
2.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found at the coordinates (h, k) in the vertex form of a quadratic equation: y = a(x-h)^2 + k.
3.
FLASHCARD QUESTION
Front
Define the Y-intercept of a quadratic function.
Back
The Y-intercept is the point where the graph of the quadratic function intersects the y-axis. It occurs when x = 0.
4.
FLASHCARD QUESTION
Front
What does the term 'parabola' refer to in mathematics?
Back
A parabola is a U-shaped curve that is the graph of a quadratic function. It can open upwards or downwards.
5.
FLASHCARD QUESTION
Front
How can you determine if a quadratic opens upwards or downwards?
Back
If the coefficient 'a' in the quadratic equation y = ax^2 + bx + c is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.
6.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the maximum or minimum value of the quadratic function, indicating the highest or lowest point on the graph.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the axis of symmetry?
Back
The formula for the axis of symmetry is x = -b/(2a), where a and b are coefficients from the quadratic equation in standard form.
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