I assume they are asking for the maximum height of the ball. If they are just asking for the height when the ball is first punted then just set x equal to 0 and your answer is 1.5 feet
If they are asking for the maximum height this would be at the vertex of this downward facing parabola
The x coordinate is at -b/2a which is (-9/5)/(2x-16//2025)= (9/5)/32/2025)= 113.9 Now find the y value when x=113,9 by plugging in 113.9 for x in the original equation
y= (-16/2025)(113.9)^2 +(9/5)(113.9) +1.5
y= -102.5 +205 +1.5= 104