Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value October 22, 2014

parent function: the most basic form of a function

Page 1 - Linear f(x) = x x

-3 -2 -1 1 2 3

(-∞, ∞) or (-∞, ∞) or x: (0, 0), y: (0, 0) N/A

Page 2 - Quadratic f(x) = x2 x2

9 4 1

(-∞, ∞) or [0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0) N/A Vertex: (0, 0) Line of Symmetry: x = 0

Page 3 - Cubic f(x) = x3 x3

-8 -1 1 8

(-∞, ∞) or (-∞, ∞) or x: (0, 0), y: (0, 0) N/A

Page 3 – Absolute Value f(x) = |x| |x|

3 2 1

(-∞, ∞) or [0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0) N/A Line of Symmetry: x = 0