What is the equation of the horizontal asymptote for the function $y=2(4)^{x+1}+3$ ?
\(\boxed{y=3}\)
Step 1 :Analyze the behavior of the function as x approaches negative infinity: \(2(4)^{x+1}+3\)
Step 2 :As x approaches negative infinity, the exponential term \((4)^{x+1}\) approaches 0, so the horizontal asymptote is the constant term 3.
Step 3 :\(\boxed{y=3}\)