Find the Formula for the A-Unit Moving Average of a General

Multiple Choice

Find the formula for the a-unit moving average of a general exponential function. $f ( x ) = K e ^ { p x }$

A) $\bar { f } ( x ) = \frac { K } { p a } \left( e ^ { p x } + e ^ { p ( x - a ) } \right)$
B) $\bar { f } ( x ) = \frac { K } { a } \left( e ^ { p x } - e ^ { p ( x - p ) } \right)$
C) $\bar { f } ( x ) = \frac { K } { p a } \left( e ^ { p x } - e ^ { p ( x + a ) } \right)$
D) $\bar { f } ( x ) = \frac { K } { p } \left( e ^ { p x } - e ^ { a } \right)$
E) $\bar { f } ( x ) = \frac { K } { p a } \left( e ^ { p x } - e ^ { p ( x - a ) } \right)$