Function transformation involves changing the form of a function
Function transformation
A function can be transformed by shifting, flipping, enlarging and compressing the function.
The types of function transformations are:
- Dilation
- Translation
- Rotation
- Reflection
The function passes through the following points
(1,1) and (0,-1)
The graphs of the functions
(a) Function g(x)
The equation of the function is given as:
[tex]g(x) = 2 + f(x)[/tex]
This means that f(x) is translated up by 2 units.
The graph that represents this is graph (b)
(b) Function h(x)
The equation of the function is given as:
[tex]h(x) = f(2 + x)[/tex]
This means that f(x) is translated left by 2 units.
The graph that represents this is graph (e)
(c) Function k(x)
The equation of the function is given as:
[tex]k(x) = f( x) -2[/tex]
This means that f(x) is translated down by 2 units.
The graph that represents this is graph (c)
(d) Function m(x)
The equation of the function is given as:
[tex]m(x) = f( x-2)[/tex]
This means that f(x) is translated right by 2 units.
The graph that represents this is graph (f)
Read more about function transformation at:
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