Graphing Quadratic Equations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the range of a quadratic function with a vertex at (h, k) where k is the minimum value?
Back
The range is y ≥ k.
Tags
CCSS.HSF-IF.C.7A
2.
FLASHCARD QUESTION
Front
What is the axis of symmetry for a quadratic function in the form y = ax^2 + bx + c?
Back
The axis of symmetry is x = -b/(2a).
3.
FLASHCARD QUESTION
Front
What are the coordinates of the vertex of a parabola given by the equation y = ax^2 + bx + c?
Back
The vertex coordinates are (-b/(2a), f(-b/(2a))).
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
Set x = 0 in the equation y = ax^2 + bx + c.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What is the general shape of a quadratic graph?
Back
A parabola, which opens upwards if a > 0 and downwards if a < 0.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?
Back
It determines the direction and width of the parabola.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
If a quadratic function has no real roots, what can be said about its graph?
Back
The graph does not intersect the x-axis.
Tags
CCSS.HSF-IF.C.7A
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