Algebra EOC Study Guide

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

The vertex of a quadratic function represents the highest or lowest point of the graph, depending on whether the parabola opens upwards or downwards.

The zeros of a quadratic function can be found by factoring the function, using the quadratic formula, or by completing the square.

The standard form of a quadratic function is f(x) = ax² + bx + c.

The factored form of a quadratic function is f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots of the function.

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

The nth term of a geometric sequence can be found using the formula: a_n = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio.

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

The formula for exponential growth is N(t) = N0 * e^(rt), where N0 is the initial amount, r is the growth rate, and t is time.