Analyzing Graphs of Functions
The knowledge of some fairly simple graphs can help us graph some more complicated graphs. Many functions have graphs that are simple transformations of the common graphs.
Vertical Shifts: Let c be a positive real number. Vertical shifts in the graph of y = f (x) are represented as follows
Vertical shift c units upward: h(x) = f (x) + c
Vertical shift c units downward: h(x) = f (x) - c
Horizontal Shifts: Let c be a positive real number. Horizontal shifts in the graph of y = f (x) are represented as follows
Horizontal shift units left: h(x) = f (x + c)
Horizontal shift units right: h(x) = f (x - c)
Learn more about analyzing graphs of functions below.
Practice: Use parent functions and transformation to graph functions in the following exercises.
Analyzing Graphs of Functions 1
Analyzing Graphs of Functions 2