Advanced Algebra

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is 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 in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Front

What is depreciation in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear or obsolescence.

Front

How do you calculate the value of an asset after depreciation?

Back

The value after depreciation can be calculated using the formula: Value = Initial Value * (1 - Depreciation Rate)^Number of Years.

Front

What does the function f(x) = 800(0.87)^x represent?

Back

This function models exponential decay, where the quantity decreases by 13% each day.

Front

What is the significance of the mean in a data set?

Back

The mean is the average value of a data set, calculated by summing all values and dividing by the number of values.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which can be simpler polynomials.