# HSF-BF.B.3

Identify the effect on the graph of replacing $f(x)$ by $f(x) + k$, $k f(x)$, $f(kx)$, and $f(x + k)$ for specific values of $k$ (both positive and negative); find the value of $k$ given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

## Tasks

Identifying Even and Odd Functions

Building a General Quadratic Function

Medieval Archer

Building a quadratic function from $f(x) = x^2$

Transforming the graph of a function

Building an Explicit Quadratic Function by Composition

Exploring Sinusoidal Functions

Identifying Quadratic Functions (Standard Form)

Identifying Quadratic Functions (Vertex Form)