**1**Recognize the vertical displacement of the graphical representation of a function.**1.1**Identify graphical representations of functions that have been displacedvertically.**1.2**Deduce changes in the independent and dependent variables present in thefunctions that have been displaced.**1.3**Conjecture about changes occurred in the algebraic expression of the function inorder to create vertical displacement.**1.4**Find the algebraic expression of functions that have been vertically displacedstarting from the original function.

**2**Recognize the horizontal displacement of functions through their graphicalrepresentation.**2.1**Identify graphical representations of functions that have displaced horizontally.**2.2**Deduce changes in the independent and dependent variables present in thefunctions that have been displaced.**2.3**Conjecture about the changes occurred in the algebraic expression of thefunction in order to create horizontal displacement.**2.4**Find the algebraic expression of functions that have been vertically displacedstarting from the original function.

**3**Recognize the reflection with respect to the X and Y axis of functions through theirgraphical representation.**3.1**Identify graphical representations of the functions which have been reflected withrespect to the X and Y axis.**3.2**Deduce the changes in the independent and dependent variables observable inthe functions that have been reflected.**3.3**Conjecture on the changes occurred in the algebraic expression of the functionwhen reflections are carried out.**3.4**Find the algebraic expression of functions that have been reflected based onthe original function.

**4**Recognize horizontal and vertical expansion in a function's graphical representation.**4.1**Identify graphical representations of functions that have expanded vertically andhorizontally.**4.2**Deduce the changes in independent and dependent variables observable infunctions that have expanded.**4.3**Conjecture on the possible changes in the algebraic expression of the function,when horizontal and vertical expansions are carried out.**4.4**Find the algebraic expression of functions that have been expanded based onthe original function.

**5**Recognize the horizontal and vertical compression of a function's graphicalrepresentation.**5.1**Identify graphical representations of functions that have been compressedvertically and horizontally.**5.2**Deduce changes in independent and dependent variables in functions that havebeen compressed.**5.3**Conjecture on changes occurred in the algebraic expression of the function,when compressions are performed.**5.4**Find the algebraic expression of the functions that have been compressedbased on the original function.

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