parent function

Question

how would you sketch the parent function (before transformations) for :

f(x) = 2(3)^x + 1

g(x) = -1/2 (1/3)^x

h(x) = -5 (1.5)^x

b(x) = 4 (1/2)^x

Answer 1

The parent functions for these are:

f(x) = 3^x

g(x) = (1/3)^x

h(x) = (1.5)^x

b(x) = (1/2)^x

To graph these the best way is to just plug in points. The one point to start with is when x is 0, each function will be equal to 1 since any number raised to the power of 0 is 1. Each of these will be exponential graphs meaning they will have really decreasing steep slopes and level off (as in g(x) and b(x) or be level and then have a really positive steep slope (as in f(x) and h(x))