Graphing Quadratics & Solving
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the line of symmetry for a parabola?
Back
The line of symmetry for a parabola 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
How do you determine the number of zeros (roots) of a parabola?
Back
The number of zeros of a parabola can be determined by calculating the discriminant (D = b^2 - 4ac) of the quadratic equation. If D > 0, there are 2 zeros; D = 0 means 1 zero; D < 0 indicates no real zeros.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (-b/(2a), f(-b/(2a))) for a quadratic equation in the form y = ax^2 + bx + c.
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
5.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a parabola?
Back
To find the x-intercepts of a parabola, set y = 0 in the quadratic equation and solve for x. This can be done using factoring, completing the square, or the quadratic formula.
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), used to find the roots of a quadratic equation.
7.
FLASHCARD QUESTION
Front
What does it mean for a parabola to open upwards or downwards?
Back
A parabola opens upwards if the coefficient 'a' in the equation y = ax^2 + bx + c is positive, and it opens downwards if 'a' is negative.
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