Solve Quadratic Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, 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 ax² + bx + c = 0.
3.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (D = b² - 4ac) indicates the nature of the roots: D > 0 means 2 real roots, D = 0 means 1 real root, and D < 0 means no real roots.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation using the Quadratic Formula?
Back
The roots can be found using the formula x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the vertex of a parabola represented by a quadratic equation?
Back
The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).
7.
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 ax² + bx + c = 0.
Tags
CCSS.HSF-IF.C.7A
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