Exponential Parent Function Transformations. Just as with other parent functions we can apply the four types of transformationsshifts reflections stretches and compressionsto the parent function without loss of shape. Just as with other parent functions we can apply the four types of transformationsshifts reflections stretches and compressionsto the parent function f x bx f x b x without loss of shape.
If the x-variable of a parent function f x is replaced with x 2 every point of the function will move 2 units left. Because an exponential function is simply a function you can transform the parent graph of an exponential function in the same way as any other function. Horizontal Shifts and the Y-intercept.
The sections below will describe how specifically an exponential function behaves under these transformations.
If the x-variable of a parent function f x is replaced with x 2 every point of the function will move 2 units left. Transformations of exponential graphs behave similarly to those of other functions. All transformations of the exponential function can be summarized by the general equation f x abxc d f x a b x c d. The parent function graph y ex is shown below and from it we can see that it will never be equal to 0.
