Rules for Transformations in Function
Notation
A handy chart is provided on the next slide with
all of the transformations in function notation.
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Transformations Rules in Function Notation, Exams of Calculus
The rules for various transformations in function notation, including horizontal and vertical shifts, stretches, and reflections. It provides examples of each transformation in function notation and charts, making it a valuable resource for students studying calculus or functions. The document also includes practice problems for identifying transformations.
What you will learn
- What is the effect of a horizontal shift to the right in function notation?
- What is the difference between reflecting over the x-axis and reflecting over the y-axis?
- How does a vertical stretch affect the graph of a function?
Typology: Exams
2021/2022
1 / 6
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Rules for Transformations in Function
Notation
A handy chart is provided on the next slide with
all of the transformations in function notation.
A vertical stretch pulls the graph away from the
x-axis (narrowing).
A vertical compression pushes the graph toward
the x-axis (widening).
A horizontal stretch pulls the graph away from the
y-axis (widening).
A horizontal compression pushes the graph
toward to y-axis (narrowing).
Write each transformation in function notation.
g(x) is shifted up 3 units and vertically compressed by 1/3.
f(x) is shifted right 1 unit and reflected over the x-axis
h(x) is horizontally stretched by 3, shifted to the left 2 units, and shifted down 4.