The parent of a function is the simplest form of a group of functions.
Parent functions are the simplest form of a given family of functions. A family of functions is a group of functions that share the same highest degree and the same shape for their graphs.
The graph shows four graphs that exhibit the parabola. Since they all share the same highest degree of two and the same shape, we can group them as one family of function.
These four are all quadratic functions, and their simplest form would be[tex]y = x^2[/tex].
Hence, the parent function for this family is [tex]y = x^2[/tex]
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