Graphing Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the graph, depending on whether it opens upwards or downwards.
2.
FLASHCARD QUESTION
Front
How can you determine if a parabola opens upwards or downwards from its equation?
Back
If the coefficient of the x^2 term (a) is positive, the parabola opens upwards. If it is negative, the parabola opens downwards.
Tags
CCSS.HSF-IF.C.7A
3.
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. It can be found using the formula x = -b/(2a) from the standard form of the quadratic equation ax^2 + bx + c.
4.
FLASHCARD QUESTION
Front
What are the coefficients a, b, and c in the quadratic equation ax^2 + bx + c?
Back
In the quadratic equation ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.
5.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept of a quadratic function can be found by evaluating the function at x = 0. This gives the point (0, c) where c is the constant term.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is written as ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
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 of the quadratic equation. 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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