High School Functions
Domain Building Functions
Cluster Build new functions from existing functions.
Standard 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. <span class='clarification'>Include recognizing even and odd functions from their graphs and algebraic expressions for them.</span>

F-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.

  • Building a General Quadratic Function
  • Building an Explicit Quadratic Function by Composition
  • Building a quadratic function from $f(x) = x^2$
  • Exploring Sinusoidal Functions
  • Identifying Even and Odd Functions
  • Identifying Quadratic Functions (Standard Form)
  • Identifying Quadratic Functions (Vertex Form)
  • Medieval Archer
  • Transforming the graph of a function

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