we know that
We can enlarge or shrink the function in the y-direction by multiplying the function by a constant.
we have
\(y=a(b^{x})\)
if \(a> 1\) -------> the function enlarge
if \(0< a < 1\) -------> the function shrinks
case A) \(a=4/5\)
\(0 < (4/5)< 1\) ------> the function shrinks
case B) \(a=5/4\)
\((5/4)> 1\) ------> the function enlarge
case C) \(a=3/2\)
\((3/2)> 1\) ------> the function enlarge
case D) \(a=7/4\)
\((7/4)> 1\) ------> the function enlarge
therefore
the answer is
\(a=4/5\)
