Transformations Introduction
Lesson Prep
Lesson Details
Duration: 50 minutes
Learning Goal: Build conceptual understanding of why horizontal and vertical shifts occur in transformations.
Prework
Make sure you have Chromebooks or some other class set of technology
Answer Keys
Classwork
Standards
Common Core
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.
TEKS
A.3(E) – determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d
A.7(C) – determine the effects on the graph of the parent function f(x) = x² when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values o f a, b, c, and d