Answers and explanation please?​

F(x) = -4x^2 +5x = -x (4x-5)

vertex
x = the midpoint between the two roots
x= [5/4 + 0]/2 =5/8
y = -4(5/8)^2 +5(5/8) = 1.5625

maximun of f(x) =  1.5625

maximum of g(x) =5 [if g(x) ={0, 0, 1, 1, 2, 5, 3, 1, 4, 0}

then, g(x) has a greater maximum value than f(x)