Chapter 4 vocab

Axis of Symmetry (AOS)

A line that divides a shape or graph into two mirror images.

Complex Number

A number that has 2 parts (a "real" part and an "imaginary part"). Complex numbers written in standard form is a number 𝑎+𝑏𝑖 where a is the real part, and b is the imaginary part.

Monomial

An expression that is either a number, a variable, or the product of a number and one or more variables with whole number exponents.

Radical

An expression 𝑠 is a radical.

Best Fit Curve

Given a scatter plot that is non-linear, the best fit curve is the curve that lies as close as possible to all the data points.

Zero Product Property (ZPP)

If ab=0, then a=0, b=0, or both equal zero. Extension: If abc=0, then a=0, b=0, c=0, any two equal zero, or all equal zero.

Imaginary Number

If 𝑏≠0, then 𝑎+𝑏𝑖 is an imaginary number. If 𝑎=0 & 𝑏≠0, is a pure imaginary number.

Square Root

If 𝑟2=𝑠 , then r is a square root.

Discriminant

In the Quadratic Formula, the expression 𝑏2−4𝑎𝑐 is called the discriminant of the associated equation 𝑎𝑥2+𝑏𝑥+𝑐=0.

Quadratic

Of the 2nd degree, with no terms exceeding the power of 2.

Factor

One or two more numerical or algebraic expressions that when multiplied together produce a given product.

Parabola

The graph of a quadratic function

Vertex

The maximum or minimum point of a parabola. The axis of symmetry intersects a parabola at the vertex.

Radicand

The number beneath the radical sign.

Conjugate

The result of writing a sum of two terms as a difference or visa-versa.

Quadratic Formula

The solutions of a quadratic equation 𝑎𝑥2+𝑏𝑥+𝑐=0 Can be found using 𝑥=−𝑏±𝑏2−4𝑎𝑐2𝑎, where 𝑎≠0.

Polynomial

The sum or difference of 2 or more monomials

Trinomial

The sum or difference of three monomials

Binomial

The sum or difference of two monomials.

Roots ("Solutions")

The x-intercepts of a parabola. A parabola can have 0, 1, or 2 roots

"Rationalize the denominator"

To remove or eliminate radicals and imaginary numbers in the denominator of a fraction.

Expand

To rewrite a product as a sum or difference of terms.

Complex Conjugates

Two complex numbers of the form 𝑎+𝑏𝑖 & 𝑎−𝑏𝑖 are called complex conjugates. The product of 2 complex conjugates is always a real number.

"Complete the Square"

When you add a term to an expression 𝑥2+𝑏𝑥 to make it a "square".

Imaginary unit i

𝑖=−1 (note: 𝑖2=−1)