Unit 4 - Algebra 2 Quadratic Function Review

Front

What is a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

Simplify: -2i^2

Back

2

Front

What is the vertex of a quadratic function in standard form?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you find the vertex of the quadratic equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its simpler polynomials.

Front

Factor Completely: x^2 - 9

Back

(x - 3)(x + 3)

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Solve: x^2 - 4 = 0

Back

x = 2, -2

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is U-shaped.