Question

Need math help ASAP plz.

Write an equation for the function g whose graph is the graph of f(t) = -100(1.05)^t translated to the right 5 units and up 50 units.

Answer 1

h(t) = f(t) - g(t)

= 500(1.2)^t - 380(1.15)^t

Taking out the greatest common factor, which is 20:

= 20[(25)(1.2)^t - (19)(1.15)^t]

This is the third choice.

Explanation:

Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.