MATH 100 Chapter Function Transformations and Graphs: Graphs on how to draw Reflections, horizontal and vertical shifts

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 100
• Professor: Kenneth Zirui Zhou

Document Summary

Vertical shifts: let f be a function and let c be a positive constant: the graph of is the graph of shifted down by c units, the graph of is the graph of shifted up by c units. Reflections: let f be a function: the graph of is the graph of reflected in the x-axis, the graph of is the graph of reflected in the y-axis. To obtain the graph of a function by multiple function transformations, apply the transformations in the same orders as the corresponding operations when evaluating the function. A function is called even if for every x in the domain of f. A function is even if and only if its graph is symmetric with respect to the y-axis. A function is called odd if and only if for every x in its domain. A function is odd if and only if its graph is symmetric with respect to the origin.