What is the vertex form of a parabola?
ALGEBRA II Mid-Term (Review/Flashcard/Exam)

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Mathematics
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11th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex form of a parabola is given by the equation: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex of a quadratic function in standard form f(x) = ax² + bx + c can be found using the formula: h = -b/(2a) and k = f(h).
3.
FLASHCARD QUESTION
Front
What is the axis of symmetry for a parabola?
Back
The axis of symmetry for a parabola given by the equation y = ax² + bx + c is the vertical line x = -b/(2a).
4.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.
5.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable x in the polynomial expression.
6.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
7.
FLASHCARD QUESTION
Front
How do you multiply complex numbers?
Back
To multiply complex numbers, use the distributive property and remember that i² = -1. For example, to multiply -4i(4 + 2i), distribute to get -16i - 8.
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