Unit 3a Review

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point (h, k) where the parabola changes direction. It is the highest or lowest point of the graph depending on whether it opens upwards or downwards.

Front

What does the order of operations refer to in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

How do you graph a quadratic function on Desmos?

Back

To graph a quadratic function on Desmos, enter the function in the form y = ax^2 + bx + c into the input box, and the graph will be displayed automatically.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 2) or (3y - 5).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, which means its highest exponent is 2. Its general form is f(x) = ax^2 + bx + c.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for the quadratic equation ax^2 + bx + c.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value in a quadratic function determines the direction of the parabola's opening. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.