What is the axis of symmetry in a quadratic graph?
Quadratics Graphs and their properties

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Mathematics
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8th 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 equation 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 on the graph of a quadratic function, depending on whether it opens upwards or downwards.
3.
FLASHCARD QUESTION
Front
How do you find the roots or x-intercepts of a quadratic function?
Back
The roots or x-intercepts can be found by setting the quadratic equation equal to zero and solving for x, either by factoring, using the quadratic formula, or completing the square.
4.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens upwards?
Back
If a parabola opens upwards, it means that the vertex is the minimum point of the graph, and the values of the function increase as you move away from the vertex.
5.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens downwards?
Back
If a parabola opens downwards, it means that the vertex is the maximum point of the graph, and the values of the function decrease as you move away from the vertex.
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at x = 0.
7.
FLASHCARD QUESTION
Front
How can you determine if a quadratic function has a maximum or minimum value?
Back
You can determine this by looking at the leading coefficient (a) of the quadratic function. If a > 0, it has a minimum; if a < 0, it has a maximum.
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