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)