Quadratic Functions

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•
Mathematics
•
10th Grade
•
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 in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards or downwards.
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept can be found by evaluating the function at x = 0, which gives the point (0, c) in the standard form f(x) = ax² + bx + c.
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 does the discriminant of a quadratic equation tell us?
Back
The discriminant (D = b² - 4ac) indicates 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
7.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
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