In mathematics education, a parent function is the core representation of a function type without manipulations such as translation and dilation. For example, for the family of quadratic functions having the general form y = a x 2 + b x + c , {\displaystyle y=ax^{2}+bx+c\,,} the simplest function is y = x 2 {\displaystyle y=x^{2}} , and every quadratic may be converted to that form by translations and dilations, which may be seen by completing the square.
In mathematics education, a parent function is the core representation of a function type without manipulations such as translation and dilation. For example, for the family of quadratic functions having the general form y = a x 2 + b x + c , {\displaystyle y=ax^{2}+bx+c\,,} the simplest function is y = x 2 {\displaystyle y=x^{2}} , and every quadratic may be converted to that form by translations and dilations, which may be seen by completing the square.
Source: Wikipedia "Parent function" · CC BY-SA 4.0
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