1.6 Notes - Parent Functions Key (1)

Parent Functions Overview

• Objective: Students will be able to identify the parent function from a graph.

Family Names and Equations

• Linear

  • Equation: y = x

  • Notes: May have different base values.

• Absolute Value

  • Equation: y = |x|

• Quadratic

  • Equation: y = x²

• Cubic

  • Equation: y = x³

• Square Root

  • Equation: y = √x

• Cube Root

  • Equation: y = ³√x

• Exponential

  • Equation: y = 2^x

• Logarithmic

  • Equation: y = log x

• Rational (Reciprocal)

  • Equation: y = 1/x

Graphs of Parent Functions

• Linear Function Graph:

  • Use math #4 for graphing

• Absolute Value Function Graph:

• Quadratic Function Graph:

• Cubic Function Graph:

• Square Root Function Graph:

• Cube Root Function Graph:

• Exponential Function Graph:

• Logarithmic Function Graph:

• Rational Function Graph: