Algebra 2 Common Core Functions: Transformations Operations and Inverses

TRANSFORMATION OF FUNCTIONS

Notes

The transformation of functions involves altering the size, position, or orientation of a function. The types of transformations that we will be considering in this section are 1) Dilations 2) Reflections 3) Shifts also known as translations.

Video Tutorial

Worked Out Examples on Transformation of Functions

The Transformation Formula

FINDING INVERSES

1. Numerical Method: Interchange the x and the y's to find the inverse of a functions. Note the inverse is not always a function. If the function passes the horizontal line test in order for it to have an inverse that is a function.

2. Graphical Method: Reflect the function along the line y=x

3.Switch the input with the inverse of the output and the output with the input and solve for the inverse of the output (If y as a function of x, switch x and y and solve)

COMPOSITION OF FUNCTIONS