Graphing Quadratic Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if a quadratic function opens down?
Back
The leading coefficient of the quadratic term (ax^2) is negative, indicating that the parabola has a maximum point.
2.
FLASHCARD QUESTION
Front
What does it mean if a quadratic function opens up?
Back
The leading coefficient of the quadratic term (ax^2) is positive, indicating that the parabola has a minimum point.
3.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form?
Back
Use 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 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 vertex of the parabola y = x^2 + 16x + 71?
Back
V(-8, 3) is the vertex.
6.
FLASHCARD QUESTION
Front
How can you determine the direction a parabola opens from its equation?
Back
Look at the coefficient of the x^2 term: if it's positive, it opens up; if negative, it opens down.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form is y = ax^2 + bx + c.
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