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Quadratic Functions

Published on Nov 19, 2015

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PRESENTATION OUTLINE

Quadratic Functions

By:Camille Omnes 

Parabola

is the curve formed from all the points (x,y)

Axis of Symmetry

 a vertical line that divides the parabola into two congruent halves

Quadratic equation

 any equation where x represents an unknown, and a, b, and c represent known numbers 

Standard form of Quadratic

Ax^2 + Bx + C = 0

Vertex form of Quadratic

 given by y = a(x - h)2 + k, where (h, k) is the vertex of the parabola

Zero product property

If a × b = 0 then a = 0 or b = 0  

Zeros of function

any value of the variable for which the function is 0

factoring

Finding what to multiply together to get an expression

Difference of two squares

an expression of the form a^2 – b^2 = (a + b)(a – b) 

Perfect square trinomial

product you obtain when you square a binomial

Quadratic formula

 For ax^2 + bx + c = 0, the value of x is given by: x = [ -b ± sqrt(b^2 - 4ac) ] / 2a

Discriminant

 name given to the expression under the square root (radical) sign in the quadratic formula

Imaginary number

any number of the form a+bi, where b(not equal)0, i=(sqrt)-1. bi is the imaginary number

Complex number

imaginary numbers and real numbers together make up the set of complex number