Which of the following is a parent function Fx 2x1 fx 4x f

Which of the following is a parent function? F(x) = -2^x+1 f(x) = 4^x f(x) = e^3x -2 f(x) = 4x^2

Solution

In the given question, the first three are exponentioal functions. For such functions, y = a^x ( for both 0<a< 1and a>1) ) is a parent function. Here a = 4. Therefore f(x ) = 4^x is a parent function. The answer is B.

NOTE: for quadratic functions of the type f(x) = ax² + Bx + c, the function y = x² is a parent function. Hence f(x)= 4x²  is not a parent function.