
Key Features of Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax^2 + bx + c = 0.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens. It can be found using the formula (-b/2a, f(-b/2a)).
4.
FLASHCARD QUESTION
Front
What does the axis of symmetry represent in a parabola?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex.
5.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a quadratic function?
Back
The axis of symmetry can be found using the formula x = -b/(2a), where a and b are coefficients from the quadratic equation.
6.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by solving the equation ax^2 + bx + c = 0.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (D = b^2 - 4ac) determines the nature of the roots: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.
Tags
CCSS.HSA-REI.B.4B
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