Transformation of Graphs
Transformation of a graph means moving or altering the graph's shape or position. The procedure for transforming the graph of one algebraic function is applicable to the other algebraic and trignometric functions.
In algebra there is a group of commonly used functions called parent functions and most graphs are either transformation of these functions or a combination of them.
They are:
- y = x2 called the quadratic or square function
- y = x3 called the cubic function
- y = x called the linear or identity function
- y = |x| called the absolute value function
- y = √x called the square root function ( this can also be written x½)
- y = ∛x called the cube root function ( this can also be written x⅓)
Lets work with the cubic function y = x3 The graph of the cubic function is:
How do we move the graph down 2 units?
answer
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