
Exploring Graphs of Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the graph of a quadratic equation look like?
Back
The graph of a quadratic equation is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.
Tags
CCSS.HSF-IF.C.7A
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.
4.
FLASHCARD QUESTION
Front
How can you determine the direction a parabola opens?
Back
If the coefficient 'a' in the quadratic equation y = ax² + bx + c is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
5.
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 formula x = -b/(2a).
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (D = b² - 4ac) determines the number of solutions: D > 0 means two solutions, D = 0 means one solution, and D < 0 means no real solutions.
Tags
CCSS.HSA-REI.B.4B
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