Guided Practice: Exponential Function Manipulation

The product property for exponents states that b^mbⁿ = b^m+n. Graphically, this property implies that every horizontal translation of an exponential function, f(x) = b^x+k, is equivalent to a vertical dilation, f(x) = b^x+k = b^xb^k = ab^x, where a = b^k.

Rewrite f(x) = 2^x+3 in the form ab^x, then check the two forms at x = 2.

Try it on paper first, then reveal each step to check your work.