Fall Final Exam Integrated 2 Preparation!

Front

What is a parabola?

Back

A parabola is a symmetrical, curved shape that represents the graph of a quadratic function, typically in the form y = ax² + bx + c.

Front

How do you convert a quadratic equation to factored form?

Back

To convert a quadratic equation to factored form, find two numbers that multiply to the constant term and add to the coefficient of the linear term, then express the equation as (x - p)(x - q).

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

What is the theoretical probability of an event?

Back

The theoretical probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you factor a trinomial completely?

Back

To factor a trinomial completely, look for a common factor, then find two binomials that multiply to give the original trinomial.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the terms of a polynomial without leaving a remainder.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

How do you identify the vertex of a parabola?

Back

The vertex of a parabola in standard form can be found using the formula (-b/2a, f(-b/2a)).

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials with real coefficients.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.