Explain quadratic function and power function

Explain quadratic function and power function

The basic concepts upstairs are not solid,
The quadratic function is an independent variable, the highest power is 2, the power of the independent variable can be 2,1,0, and the highest power of the independent variable of the power function is arbitrary
Y = ax ^ 2 + BX + C (a ≠ 0) is a quadratic function
Y = x ^ A is a power function
It is worth noting that a quadratic function is not a power function because it does not necessarily conform to y = x ^ a