# Chapter 5 (Alg 2) Flashcards

Quadratic Function

a function that can be written in the standard form y = ax^2 + bx + c were a DNE 0

Parabola

Graph of a Quadratic formula

Axis of Symmetry

divides the Parabola into mirror images and passes through the vertex

Vertex

The lowest or highest point on a parabola

Graphing a standard quadratic function

Draw axis of symmetry, x = -b/2a

Plot the vertex

Fill in some data values

Monomial

a number, a variable, or the product of a number and one or more variables with whole number exponents

Bi-nomial, Tri-, Poly-

the sum of two monomials, three, four or more

Vertex form of Quadratic

y = a(x-h)^2 + k, h is the axis of symmetry (this is standard for a lot of the equations you’ll come across in the future)

Graphing Vertex form of Quadratic

Draw axis of symmetry, plot vertex (h,k), plot more data points

Intercept form of Quadratic

y = (x - p) (x - q)

How to graph intercept form of Quadratic

Draw axis of symmetry which is p + q over 2, Plot vertex, plot more data points

Minimum and Maximum of Quadratic graph

a > 0, the y-coordinate of the vertex

a

How to factor a Trinomial

find integers m and n such that m + n = b and mn = c

(x^2 + bx + c)

Quadratic equation

written as ax^2 + bx + c = 0

Zero product property

Let A and B be expressions, if AB = 0, then A = 0 or B = 0