What is the parent function for expontential functions?

i need the parent function and two child fuctions that show a transformation and a reflection. thanksWhat is the parent function for expontential functions?
There's no such thing as a 'parent function', although your teacher and your course syllabus may use that terminology. See here:





http://www.mathnstuff.com/math/spoken/he鈥?/a>





What that site calls a 'related function' is probably the sort of thing you call a 'child function' in your course.





That being the case, the 'parent function', aka 'the button on my calculator that performs exponentials' is, depending on the type of problem, the x^y button (may also be labelled y^x or similar) and also the e^x button. That's usually the inverse of the ln button.





Any sort of transformation in a function requires that the resultant (usually called 'y' on a graph) or the input to the function ('x') be moved with respect to the origin. The simplest transformation therefore is to modify the input to the function in some way; e.g.


rather than e^x, have e^(x-1). When graphed, the latter is shifted one unit of x to the right.





The reflection you're after is therefore probably wanting a negation of the input to the function. e^(-x) is what you'd want in that case. The graph for such a function is the same as e^x, but reflected in the line x = 0, which is usually drawn as the y axis.