Transformations of Quadratic Functions Section 2.1 beginning on page 48.

The Big Ideas In this section we will learn about…. Describing transformations of quadratic functions (extension of section 1.2) o Translations (horizontal and vertical) o Reflections (in the x-axis and the y-axis) o Stretches and Shrinks (horizontal and vertical) Writing transformations of quadratic functions. o NEW: Writing transformed quadratic functions in vertex form. o Writing transformed quadratic functions, applying transformations one at a time. (extension of section 1.2)

Core Vocabulary Previously Learned: Transformations New Vocabulary: Quadratic Function Parabola Vertex of a Parabola Vertex Form

Quadratic Functions (Why can’t a=0 ? )

Translations

Reflections

Stretches and Shrinks

Transformations of Quadratic Functions

Vertex Form ** This is new and important, put this in your notes **

Writing a Transformed Quadratic Function This is a new technique This is a previously learned technique

Review: Method 2

New: Method 1

Writing a Transformed Quadratic Function  Lets work this step out

Modeling With Mathematics How can we move this curve to make the water hit the ground further away? Which of the two options must we use here? Why?

Practice