Quadratics - Standard Form
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the coefficient 'a' in a quadratic equation determine?
Back
The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.
4.
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).
5.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a parabola?
Back
The vertex represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
6.
FLASHCARD QUESTION
Front
How can you determine if a quadratic function has a maximum or minimum value?
Back
If 'a' is positive, the function has a minimum value at the vertex; if 'a' is negative, it has a maximum value.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating f(0) = c in the standard form.
Tags
CCSS.HSF-IF.C.7A
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