Algebra ll vocab 2.1-Linear and Quadratic Regression

Degree

the highest exponent of a function

Quadratic Function

an equation of degree 2; can be written in the form f(x)=ax²+bx+c

Parabola

the graph of a quadratic equation

Vertex form of a Quadratic Equation

y=a(x-h)²+k

Axis of symmetry

the line that creates a mirror image of a figure

Standard Form of a Quadratic Equation

y=ax²+bx+c

Regression line

the line of best fit for data from a graphing calculator

Quadratic regression

the palabola of best fit for a graphing calculator

Correlation Coefficient

shows the strength of the line (r ) or parabola (r²) with the data

Zero Product Property

when the product of two real numbers equal to zero, one number must be zero

Differences of squares

a² - b² =(a+b)(a-b)

Greatest Common Factor

the largest number and/or variable that can be divided from terms

Radical

another word for a square root

Perfect square

a number that is the product of another number multiplied by itself

Imaginary Unit

the complex number whose square is -1 i²=-1 Square root -1=i⁠

Imaginary number/complex number

any number in the form

Complex conjugates

the inverse of a complex number a+bi and a-bi

Perfect Square Trinomial

the product obtained when squaring a binomial

Completing the square

the process of finding the constant to add to x² +bx to create a perfect square trinomial

Discriminant

the value that determines the number and types of solutions for any quadratic equation

Quadratic Formula

solves any quadratic equation in the form ax² +bx+c=0