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Algebra I
Module 4
Term | Definition |
---|---|
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 |