Parent Function Booklet:

Linear, Quadratic, Cubic, Absolute Value

October 22, 2014

parent function: the most basic form of a function

Page 1 - Linear

x

f(x) = x

-3-2-10123

(-∞, ∞) or

(-∞, ∞) or

x: (0, 0), y: (0, 0)

N/A

Page 2 - Quadratic

x2

f(x) = x2

9410149

(-∞, ∞) or

[0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0)

N/A

Vertex: (0, 0)Line of Symmetry: x = 0

Page 3 - Cubic

x3

f(x) = x3

-8-1018

(-∞, ∞) or

(-∞, ∞) or

x: (0, 0), y: (0, 0)

N/A

Page 3 – Absolute Value

|x|

f(x) = |x|

3210123

(-∞, ∞) or

[0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0)

N/A

Line of Symmetry: x = 0