MAT106: Trigonometry
Function Transformations Determining Functions
1.
Write a single function ( ) that results from transforming the parent
function ( )
as follows: a horizontal translation
units lef
MAT106: Trigonometry
Arithmetic Facts Involving Cube Roots, Fourth Roots, and Related Items
Powers to Know:
Additional Powers of
:
Rule for Simplifying Radicals with Radicands Involving Powers of Vari
MAT106: Trigonometry
Justifications/Proofs of Various Properties of Logarithms
Below are basic algebraic proofs of the validity of some of the basic properties of logarithms. In order
to proceed, the
MAT106: Trigonometry
Brief Summary of Function Transformations
The sections below are intended to provide a brief overview and summary of the various types of basic
function transformations covered in
MAT106: Trigonometry
Function Transformations Analyzing Functions
Basic Function:
()
1. a. Graph ( )
.
b. State the type of graph.
2
a. Graph ( )
.
b. Analyze the change from #1 above.
).
3. a. Graph
MAT106: Trigonometry
Quiz on Sections 2.1-2.3, Version A: Function Transformations and Symmetry Solutions
(
1.
2.
)
(
)
)
(
)
(
)
(
)
()
()
Translated
units left
Compressed horizontally by a factor of
MAT106: Trigonometry
Quiz on Sections 2.1-2.3, Version B: Function Transformations and Symmetry Solutions
(
1.
2.
]
(
)
Apply horizontal transformations, in order, to given domain:
1) Translate
unit r
MAT106: Trigonometry
Quiz on Sections 2.1-2.3, Version D: Function Transformations and Symmetry Solutions
(
1.
2.
]
Apply vertical transformations, in order, to given range:
1) Stretch vertically by a