Find an Equation for the Rational Function Graph $\mathrm { F } ( \mathrm { x } ) = \frac { 4 ( x - 8 ) ^ { 2 } - 16 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 9 }$

Multiple Choice

Find an equation for the rational function graph.
-A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represented by the following function of time: $\mathrm { F } ( \mathrm { x } ) = \frac { 4 ( x - 8 ) ^ { 2 } - 16 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 9 }$ . Assuming that the turbulence first hits at time $x = 0$ , what is the maximum relative drop the plane will experience due to turbulence? (Round the result to the nearest hundredth.)

A) $1.97 \mathrm { ft }$
B) $26.03 \mathrm { ft }$
C) $0.25 \mathrm { ft }$
D) $8.22 \mathrm { ft }$