ALGEBRA II Mid-Term (Review/Flashcard/Exam)

Front

What is the vertex form of a parabola?

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.

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).

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).

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.

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.

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.

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.

Front

What is standard form for a polynomial?

Back

Standard form of a polynomial is when the terms are arranged in descending order of their degree.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property (FOIL method): (a + b)(c + d) = ac + ad + bc + bd.

Front

How do you convert a quadratic function to vertex form?

Back

To convert a quadratic function to vertex form, complete the square on the quadratic expression.