Graphing Quadratic Ch 7
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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.
3.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a quadratic function?
Back
To find the x-intercepts, set y = 0 and solve the equation ax² + bx + c = 0.
4.
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, given by the formula x = -b/(2a).
5.
FLASHCARD QUESTION
Front
What is the significance of the 'a' value in a quadratic equation?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.
6.
FLASHCARD QUESTION
Front
What is the intercept form of a quadratic function?
Back
The intercept form is written as y = a(x - p)(x - q), where p and q are the x-intercepts.
7.
FLASHCARD QUESTION
Front
How do you determine the number of solutions (x-intercepts) a quadratic has?
Back
The number of solutions can be determined using the discriminant (b² - 4ac): if > 0, two solutions; = 0, one solution; < 0, no solutions.
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