Lesson Plan

Identify and graph vertical translations: f(x) + k shifts the graph up (k > 0) or down (k < 0) by |k| units

Identify and graph horizontal translations: f(x + k) shifts the graph left (k > 0) or right (k < 0) by |k| units

Identify and graph vertical stretches/compressions and reflections: kf(x) stretches vertically by |k|, reflects over x-axis when k < 0

Identify and graph horizontal stretches/compressions and reflections: f(kx) compresses horizontally by |k|, reflects over y-axis when k < 0

Determine the value of k given the graphs of f(x) and a transformed version

Recognize even functions (f(-x) = f(x), symmetric about y-axis) and odd functions (f(-x) = -f(x), symmetric about origin) from graphs and algebraic expressions

HSF.BF.B.3

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.