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Chapter 6: Quadratic

Quadradic Functions

Ex of a quadratic expression ax^2+bx+c
Ex of a quadratic equation ax^2+bx+c=0
Quadratic function f:x yields ax^2+bx+c
Binonmial square thereom For all real numbers x and y (x+y)^2=x^+2xy+y^2 (x-y)^2=x^2+2xy+y^2
Corollary The image of the parabola y=ax^2 under the translation th,k is the parabola with the equation y-k=a(x-h)^2
Fun fact Any parabola whose equation can be written in vertex form y-k=a(x-h)^2 can be wrriten in the standard form y=ax^2+bx+c
Definition When k>0 , the two solutions to x^2 are denoted square root -k and -square root -k
What is a postulate? A complex number is a number of the form a+bi, where a and b are real numbers and i=the square root of -1; a is called the real part and b i called the imaginary part.
Created by: kmalone30