Lesson 6: 2-6 Transformations of FUnctions
Duration of Days: 1
Lesson Objective
Identify the effects on the graphs of functions by replacing f(x) with f(x) +k and f(x-h) for positive and negative values
Identify the effect on the graphs of functions by replacing f(x) with af(x), f(ax), -af(x), and f(-ax)
How is a parent graph related to a parent function?
Describe how a transformation can alter the parent graph.
If the parent graph of a function y=x is translated two units up/down, what is the equation of the translated graph?
If the parent graph of the function y=x is reflected over the y-axis, what do you think is the equation of the transformed graph?
parent graph
parent function
quadratic function
translation
reflection
line of reflection
dilation
F.IF.4 For a function that models a relationship between two quantities, interpret key features of expressions, graphs and tables in terms of the quantities, and sketch graphs showing key features given a description of the relationship.
F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, kf(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.
TBD
A family of graphs is a group of graphs that display one or more similar characteristics. The parent graph, which is the graph of the parent function, is the simplest of the graphs in a family.
Nick makes $8 an hour working at a pizza shop. If he agrees to be supervisor, he will make an extra $20 per shift. If you graph his hours worked per day on the x-axis and the money earned on the y-axis, this will be an example of a parent function.
none
Ask the students to create posters that display the four parent functions discussed in this lesson, as well as the transformation. Display the posters in the room.
Use McGraw Hill Resources
Use McGraw Hill Resources