Parabola Equations (Period 4)
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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the axis of symmetry of a parabola?
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) for a quadratic equation in the form y = ax^2 + bx + c.
2.
FLASHCARD QUESTION
Front
What is the vertex of a parabola given in the form y = a(x - h)^2 + k?
Back
The vertex of the parabola is the point (h, k), where 'h' is the x-coordinate and 'k' is the y-coordinate.
3.
FLASHCARD QUESTION
Front
How do you find the zeros of a quadratic function?
Back
To find the zeros of a quadratic function f(x) = ax^2 + bx + c, set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.
4.
FLASHCARD QUESTION
Front
What is the standard form of a parabola?
Back
The standard form of a parabola is y = ax^2 + bx + c, where 'a' determines the direction and width of the parabola.
5.
FLASHCARD QUESTION
Front
What does the 'a' value in the parabola equation y = ax^2 + bx + c indicate?
Back
The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
6.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation. It represents the maximum or minimum value of the function.
7.
FLASHCARD QUESTION
Front
How do you determine if a parabola opens upwards or downwards?
Back
Check the value of 'a' in the equation y = ax^2 + bx + c: if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.
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