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# Algebra I

### Module 4

TermDefinition
Leading Coefficent The leading coefficient of a polynomial is the coefficient of the term of highest degree
Parent Function Simplest function in a "family" of functions
Quadratic function Polynomial function with a degree of 2 ex: x^2+7x=10
cubic function function with a degree of 3 ex: x^3
square root function function with a square root /-------- \_/ x
cube root function function with a cube root 3 /-------- \_/ x
standard form of quadratic function f(x)=ax^2 +bx+c
Factored form of a quadratic function f(x)=a(x-n)(x-m)
vertex form completed quadratic square form f(x)=a((x-h)^2)+k
roots of a polynomial function Domain values for polynomial function that make the value of a polynomial function equal to zero when substituted for the variable
axis of symmetry vertical line formed by the graph of the equation, when in standard form (f(x)=(ax^2)+bx+c), using the formula x=(-b) % (2a) note %= divide
vertex point where the graph and axis of symmetry intersect; it is considered a maximum or minimum, depending whether the leading coefficient is positive or negative
End Bahavior opening of the function, when in standard form (f(x)=(ax^2)+bx+c) opens up when a>0 and opens down when a<0
Quadratic formula equation used when equation can not be factored ( (-b)(+or-) /------------------ \_/ (b^2) -4ac ) divided by (2a)
Discriminant Used to describe how a graph looks ,^2-4ac
Created by: Newark Reds