SOLUTION: The graph of a translated exponential function is shown below. Its parent function is y=4^x. If the graph is asymptotic to y=-3 and contains the points (2,-2) and (3,1), what is th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The graph of a translated exponential function is shown below. Its parent function is y=4^x. If the graph is asymptotic to y=-3 and contains the points (2,-2) and (3,1), what is th      Log On


   



Question 1071332: The graph of a translated exponential function is shown below. Its parent function is y=4^x. If the graph is asymptotic to y=-3 and contains the points (2,-2) and (3,1), what is the equation of the function?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the -3 will go at the end,
-2=4^2-3; need the first term to be (1/16)*4^2
check with second point
1=(4^3)(1/16)-3, which does work
the function is y= (1/16)4^x-3
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F16%294%5Ex-3%29