Quadratics Functions Attributes

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the equation for the axis of symmetry of a quadratic function in vertex form?
Back
The axis of symmetry is given by the equation x = h, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you determine the direction a parabola opens based on its leading coefficient?
Back
If the leading coefficient (a) is positive, the parabola opens upwards. If a is negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What is the vertex of the quadratic function f(x) = a(x - h)² + k?
Back
The vertex is the point (h, k) in the coordinate plane.
4.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a quadratic function?
Back
Set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
5.
FLASHCARD QUESTION
Front
What is the quadratic formula used to find the roots of a quadratic equation?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What are the characteristics of the graph of a quadratic function?
Back
The graph is a parabola, which can open upwards or downwards, has a vertex, an axis of symmetry, and may have x-intercepts and a y-intercept.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
Tags
CCSS.HSA-REI.B.4B
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