By: Dylan, Amy, Ally, Nikolos, and Mary-Catherine.

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Presentation transcript:

By: Dylan, Amy, Ally, Nikolos, and Mary-Catherine

A polynomial of degree 3. Example: x^3 - 1, 4x^3 – 100x^2 + x - 6, and m^2n + mn^2 are all cubic polynomials.

Ex. F(x)=(x-3)^3 +20 (x-3)(x-3)(x-3) x^3 -9x^2 +27x-27x F(x)=x^3 -9x^2 +27x-27x-7 Write out (x-3)^3 Multiply together to get product using distributive form Combine like terms You are done!

1. F(x)=(x+5)^3 -5 Convert to standard form (f(x)=ax^3 +bx^2 +cx+d) 2. F(x)=x^3 -20 Y-intercept? 3. Domain and Range of f(x)=x^3 4. Parent function f(x)=x^3 G(x)=-(x+4)^3 +2 Describe transformations. F(x)=x^3 +15x^2 +75x+120 y=-20 Domain is all real numbers. Range is all real numbers. Reflection. Horizontal translation 4 to the left. Vertical translation up 2.

F(x)= (x-2)^3+3 F(x)=x^3 -6x^2 +12x-8 F(x)= x^3 -7 F(x)=2x^3+3x^2-11x-6

F(x)=x^3 +7 F(x)=x^3 +3 F(x)= Find the equation F(x)=x^3

The Parent Function is f(x)=x^3 1. g(x)=(x-2)^3+3 Describe the Transformations. 2. What is the domain and range of f(x)=(x+4)^3+1? 3. (x-8)^3+999 What is the X intersect? 4. (x+2)^3-1 What is the Y intersect?

A cubic graph will always have a domain and range of all real numbers. Standard form of a cubic equation is ax^3 +bx^2 +cx+d. End! Hope you have enjoyed this presentation and you have a lovely day!