HW 7.1 Solving Quadratics by Graphing and Factoring

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•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are the solutions of the quadratic equation x^2 - 6x + 8 = 0?
Back
x = 2, x = 4
2.
FLASHCARD QUESTION
Front
Define a quadratic equation.
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola represented by the equation y = ax^2 + bx + c?
Back
The vertex is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.
4.
FLASHCARD QUESTION
Front
How do you factor the quadratic expression x^2 + 5x + 6?
Back
(x + 2)(x + 3)
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry for the parabola given by the equation y = 2x^2 - 4x + 1?
Back
x = 1 (found using x = -b/(2a))
6.
FLASHCARD QUESTION
Front
What are the solutions of the quadratic equation x^2 + 4x + 4 = 0?
Back
x = -2 (a repeated root)
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