Transformation of a Function
Bridge: Does a function transforms? if so, does that mean function is a transformer?
Learning Objective: SWBAT translate a graph vertically and horizontally
Teaching Objective: To prompt the students to observe the relationships and patterns between given graphs
Pre-Test: Does anyone know how to translate a graph?
Participatory:
- What are some questions regards to the different graphs? (What-If-Not)
- Graph y = 2x and y = 2x + 1, y = 2x - 1, y = 2(x - 1), y = 2(x + 1), y = 2(x + 1) – 2
- Ask the students if they notice patterns
- Explain how the graph transforms if students can’t find the pattern
Post-Test: Give a graph y = f(x), then give another graph on the same grid but moved both horizontally and vertically. Ask students to find the equation of the graph that has been moved.
Summary: Generalization of function; what is the equation of the function f(x) if we translate it to the right by 2? And down by 5? And so on.
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