Gr 11 Functions Nelson Parent Functions Summary

Parent Function

Equation of
Function Name of function Sketch of Graph Special Features / Symmetry Domain Range



• straight line that goes through
the origin

• slope is 1
Linear
𝑓 (𝑥) = 𝑥 Function • divides the plane exactly in Χ∈R 𝑌∈𝑅
half diagonally

• graph in 1 and 3 quadrant




• parabola opening up

• vertex at the origin

𝑓 (𝑥 ) = 𝑥 2 Quadratic • 𝑦 has the minimum value
Function Χ∈R 𝑦≥0
• 𝑦 − 𝑎𝑥𝑖𝑠 = axis of symmetry
(vertical line that divides the
parabola into two congruent
halves.)

• graph in 1 and 2 quadrant




1