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Chapter 6

Quadratic Functions

Quadratic Expression, Standard Form of a Quadratic ax^2+bx+c
Binomial Square Theorem (x+y)^2=x^2+2xy+y^2 (x-y)^2=x^2-2xy+y^2
Absolute Value the distance of the number from 0
Absolute Value of Square Roots square root of x^2 = absolute value of x
Irrational Number can't be written as a simple fraction
Corollary the image of y=ax^2 under the translation T h,k has the equation y-k=a(x-h)^2
Newton's Formula h=-1/2gt^2=v(0)t+h(0)
Perfect Square Trinomial x^2+2hx+h^2
Theorem to complete the square x^2+bx add (1/2b)^2
Quadratic Formula x= -b plus or minus the square root of b squared minus 4ac all over 2a
Imaginary Numbers square roots of negatives 'i'
i = square root of -1
Complex Number a real number an imaginary number are added a+bi
Discriminant b^2-4ac
Two Real Solutions discriminant is greater than 0
One Real Solution discriminant =0
Two Complex Conjugate Solutions discriminant is less than 0
Created by: acaforever