Algebra 2 Chapter 1 1 Parent Functions Transformations

Algebra 2 Chapter 1. 1 Parent Functions & Transformations

The 8 Basic Functions

Graphs of 8 Basic Functions • Transformation üChanges the size, shape, position, or orientation of a graph • Translation üShifts a graph horizontally and/or vertically but does not change it’s size, shape, or orientation

Graphing and Describing Translations • Parent Function g(x)

• Reflection: A transformation that flips a graph over a line called the line of reflection Parent Function g(x)

Stretches and Shrinks • Another way to transform the graph of a function is to multiply all of the y-coordinates by the same positive factor. (other than 1) • Vertical Stretch: when the factor is greater than 1 • Vertical Shrink: when the factor is greater than 0 and less than 1

• Stretches and Shrinks Parent Function g(x)

Combinations of Transformations • You can use more than 1 transformation to change the graph of a function

• Combinations Parent Function g(x)

Assignment Chapter 1. 1 Pages 8 -9 3 -6 all 9 -33 odd