Lesson Plan

Produce the graph of a transformed parent function (y = x², y = x³, y = 2ˣ, or y = 1/x) from its equation, and its equation from its graph, stating where the vertex or asymptotes move

State the inside/outside rule and use it to describe the shifts f(x) + k and f(x − h), including why a horizontal shift moves opposite to the visible sign

Describe the effect of a·f(x) for a > 1 and for 0 < a < 1

Distinguish −f(x) from f(−x), and identify which produced a given graph

Combine transformations, and read a(x − h)² + k directly as a shift, stretch, and reflection

"Make connections between a table, an algebraic representation, or a graph of a: • polynomial function, simple rational function, or quadratic or exponential function that involves a transformation, not in context." "Make connections between a table, an algebraic representation, or a graph of a: • polynomial function, simple rational function, or other nonlinear function in a context, or a quadratic or exponential function that involves a transformation in a context."